multiplying polynomials in this powerpoint presentation you will see two alternative approaches to...
TRANSCRIPT
![Page 1: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/1.jpg)
Multiplying polynomials
In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication.To see multiplication using a table click here.
To see multiplication “in your head” click here.
![Page 2: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/2.jpg)
Using a table
x² 3x -2
2x²
-x
4
Multiply x² + 3x – 2 by 2x² – x + 4
![Page 3: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/3.jpg)
Using a table
x² 3x -2
2x²
-x
4
Multiply x² by 2x²
![Page 4: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/4.jpg)
Using a table
x² 3x -2
2x² 2x4
-x
4
Multiply x² by 2x²
![Page 5: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/5.jpg)
Using a table
x² 3x -2
2x² 2x4
-x
4
Multiply 3x by 2x²
![Page 6: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/6.jpg)
Using a table
x² 3x -2
2x² 2x4 6x³
-x
4
Multiply 3x by 2x²
![Page 7: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/7.jpg)
Using a table
x² 3x -2
2x² 2x4 6x³
-x
4
Fill in the rest of the table in the same way
![Page 8: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/8.jpg)
Using a table
x² 3x -2
2x² 2x4 6x³ -4x²
-x
4
Fill in the rest of the table in the same way
![Page 9: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/9.jpg)
Using a table
x² 3x -2
2x² 2x4 6x³ -4x²
-x -x³
4
Fill in the rest of the table in the same way
![Page 10: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/10.jpg)
Using a table
x² 3x -2
2x² 2x4 6x³ -4x²
-x -x³ -3x²
4
Fill in the rest of the table in the same way
![Page 11: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/11.jpg)
Using a table
x² 3x -2
2x² 2x4 6x³ -4x²
-x -x³ -3x² 2x
4
Fill in the rest of the table in the same way
![Page 12: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/12.jpg)
Using a table
x² 3x -2
2x² 2x4 6x³ -4x²
-x -x³ -3x² 2x
4 4x²
Fill in the rest of the table in the same way
![Page 13: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/13.jpg)
Using a table
x² 3x -2
2x² 2x4 6x³ -4x²
-x -x³ -3x² 2x
4 4x² 12x
Fill in the rest of the table in the same way
![Page 14: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/14.jpg)
Using a table
x² 3x -2
2x² 2x4 6x³ -4x²
-x -x³ -3x² 2x
4 4x² 12x -8
Fill in the rest of the table in the same way
![Page 15: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/15.jpg)
Using a table
x² 3x -2
2x² 2x4 6x³ -4x²
-x -x³ -3x² 2x
4 4x² 12x -8
Now add up all the terms in the table
First the term in x4
(x² + 3x – 2)(2x² - x + 4) = 2x4
![Page 16: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/16.jpg)
Using a table
x² 3x -2
2x² 2x4 6x³ -4x²
-x -x³ -3x² 2x
4 4x² 12x -8
Now add up all the terms in the table
then the terms in x³
(x² + 3x – 2)(2x² - x + 4) = 2x4 + 5x³
![Page 17: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/17.jpg)
Using a table
x² 3x -2
2x² 2x4 6x³ -4x²
-x -x³ -3x² 2x
4 4x² 12x -8
Now add up all the terms in the table
then the terms in x²
(x² + 3x – 2)(2x² - x + 4) = 2x4 + 5x³
- 3x²
![Page 18: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/18.jpg)
Using a table
x² 3x -2
2x² 2x4 6x³ -4x²
-x -x³ -3x² 2x
4 4x² 12x -8
Now add up all the terms in the table
(x² + 3x – 2)(2x² - x + 4) = 2x4
then the terms in x
+ 5x³
- 3x² + 14x
![Page 19: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/19.jpg)
Using a table
x² 3x -2
2x² 2x4 6x³ -4x²
-x -x³ -3x² 2x
4 4x² 12x -8
Now add up all the terms in the table
(x² + 3x – 2)(2x² - x + 4) = 2x4
and finally the constant term
+ 5x³
- 3x² + 14x- 8
![Page 20: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/20.jpg)
Multiplying polynomials
To see this example of multiplication using a table again click here.
To see multiplication “in your head” click here.
To end this presentation click here.
![Page 21: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/21.jpg)
Multiplying in your head
Multiply x² + 3x – 2 by 2x² – x + 4
(x² + 3x – 2)(2x² – x + 4)
![Page 22: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/22.jpg)
Multiplying in your head
(x² + 3x – 2)(2x² – x + 4)
Start by multiplying the first terms in each bracket to give a term in x4
= 2x4
![Page 23: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/23.jpg)
Multiplying in your head
(x² + 3x – 2)(2x² – x + 4)
Now look for pairs of terms which multiply together to give a term in x³. There are two pairs.
– x³= 2x4
![Page 24: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/24.jpg)
Multiplying in your head
(x² + 3x – 2)(2x² – x + 4)
Now look for pairs of terms which multiply together to give a term in x³. There are two pairs.
– x³ + 6x³
= 2x4
![Page 25: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/25.jpg)
Multiplying in your head
(x² + 3x – 2)(2x² – x + 4)
Now look for pairs of terms which multiply together to give a term in x². There are three pairs.
– x³ + 6x³
+ 4x²= 2x4
![Page 26: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/26.jpg)
Multiplying in your head
(x² + 3x – 2)(2x² – x + 4)
Now look for pairs of terms which multiply together to give a term in x². There are three pairs.
– x³ + 6x³
+ 4x²= 2x4 - 3x²
![Page 27: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/27.jpg)
Multiplying in your head
(x² + 3x – 2)(2x² – x + 4)
Now look for pairs of terms which multiply together to give a term in x². There are three pairs.
– x³ + 6x³
+ 4x²- 3x² - 4x²= 2x4
![Page 28: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/28.jpg)
Multiplying in your head
(x² + 3x – 2)(2x² – x + 4)
Now look for pairs of terms which multiply together to give a term in x. There are two pairs.
= 2x4 – x³ + 6x³
+ 4x²- 3x² - 4x² + 12x
![Page 29: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/29.jpg)
Multiplying in your head
(x² + 3x – 2)(2x² – x + 4)
Now look for pairs of terms which multiply together to give a term in x. There are two pairs.
= 2x4 – x³ + 6x³
+ 4x²- 3x² - 4x² + 12x
+ 2x
![Page 30: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/30.jpg)
Multiplying in your head
(x² + 3x – 2)(2x² – x + 4)
Finally multiply the last two terms in each bracket to give the constant term.
= 2x4 – x³ + 6x³
+ 4x²- 3x² - 4x² + 12x
+ 2x - 8
![Page 31: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/31.jpg)
Multiplying in your head
(x² + 3x – 2)(2x² – x + 4)
Now simplify by collecting like terms.
= 2x4 – x³ + 6x³
+ 4x²- 3x² - 4x² + 12x
+ 2x - 8
= 2x4 + 5x³ - 3x² + 14x - 8
![Page 32: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using](https://reader030.vdocuments.us/reader030/viewer/2022032705/56649dd45503460f94acbdcf/html5/thumbnails/32.jpg)
Multiplying polynomials
To see multiplication using a table click here.
To see this example of multiplication “in your head” again click here.
To end this presentation click here.