Download - 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)