monday, march 10 th

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Monday, March 10th

Find the Product

1. (x + 4)(x + 7)

2. (x + 14)(x + 2)

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A Look AheadMonday: Factoring GCF Tuesday: Factoring when a=1 Wednesday: Factoring when a≠1

Thursday: Review Factoring Friday: Quiz

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0011 0010 1010 1101 0001 0100 1011Reminders

Next Test: Wednesday, March 20th

• All Make up work for this unit is due then

• Test #2 (Graphing Quadratics) retest needs to be completed by then.

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EOCT Week #10

What is the vertex of the graph of

f(x) = + 10x – 9?A. (5, 66)B. (5, –9)C. (–5, –9)D. (–5, –34)

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0011 0010 1010 1101 0001 0100 1011Questions

On Homework?!

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Graphing

Graph the function y = x2 + 2x – 3 using a table.

Then, find the x-intercepts, which we will call the zeroes for the rest of this unit.

x = ___ and x = ___

x -3 -2 -1 0 1

f (x)         

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FACTORING

https://www.youtube.com/watch?v=OFSrINhfNsQ

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Factoring=Writing Polynomial as a PRODUCT

Goal = UNdistribute

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So, how would I work the other way?

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Today’s Method

GCF

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Essential Skill-GCF

GCF=GREATEST COMMON FACTOR Find the GCF for the following

numbers 1. 12 and 24

2. 6 and 12

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Steps to Factoring Out a GCF:

1. Find the GCF of all its terms (number and/or variables).

2. Write the polynomial as a product by factoring out the GCF from all the terms.

3. - This is done by dividing the original terms of the polynomial by the GCF.

4. The remaining factors in each term will form a polynomial.

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Find the GCF of each polynomial

1. 3x² + 9x

2. c³ + c² + c

3. 6k²-36k

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2x2 – 16x + 242(x2 – 8x +12)

#1

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0011 0010 1010 1101 0001 0100 10112. 3y2 + 36y + 60

3(y²+12y+20)

3. 445 aba 144 aba

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Prime Polynomials

When one is only factoring out the GCF common factor that the

expression is PRIMEExample: 43 97 ba

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0011 0010 1010 1101 0001 0100 1011Factoring

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Sign Rule:• When the last term is

POSITIVE…–The signs inside the parenthesis will be the SAME as the middle number’s sign

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Figuring out the Numbers

Check to see… What multiplies to give you the

last number AND

adds to give you the middle number?

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0011 0010 1010 1101 0001 0100 1011x2 +7x + 6

( )( )x x + 1+ 6

x2 +7x + 6

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0011 0010 1010 1101 0001 0100 1011x2 + 9x + 14

( )( )x x + 2+ 7

x2 + 9x + 14

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0011 0010 1010 1101 0001 0100 1011x2 – 6x + 8

( )( )x x – 2– 4

x2 – 6x + 8

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0011 0010 1010 1101 0001 0100 1011x2 – 10x + 16

( )( )x x – 2– 8

x2 – 10x + 16

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Sometimes you can

factor out a GCF 1st!

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2x2 – 16x + 24

2( )( )x x – 2 – 62(x2 – 8x +12)

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0011 0010 1010 1101 0001 0100 10113y2 + 36y + 60

4x2 +24x + 32

3(y +10)(y +2)

4(x + 2)(x + 4)