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8.7 Factoring Special Cases. Objective: SWBAT factor polynomials with a combination of greatest common factors (GCF) and polynomial factoring. Mini Quiz 9. 1. Solve 2. Factor. CAHSEE Review. Overview. Factoring Completely (Multiple Times) Factor GCF Factor into ( ) ( )

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8 7 factoring special cases

8.7 Factoring Special Cases

Objective: SWBAT factor polynomials with a combination of greatest common factors (GCF) and polynomial factoring.

mini quiz 9
Mini Quiz 9

1. Solve

2. Factor

overview
Overview

Factoring Completely (Multiple Times)

  • Factor GCF
  • Factor into ( ) ( )
  • Check each ( ) for difference of square
factor completely
Factor Completely

1. Factor 8x3 + 28x2 +24x

4x(2x2 + 7x + 6)

4x(2x + 3)(x + 2)

Steps:

  • Factor GCF
  • Factor ( )( )
factor completely1
Factor Completely

2. Factor 45x4 – 20x2

5x2(9x2 – 4)

5x2(3x + 2)(3x – 2)

factor completely2
Factor Completely

3. 37g8 – 37h8

37(g8 – h8)

37(g4 + h4)(g4 – h4)

37(g4 + h4)(g2 + h2)(g2 – h2)

37(g4 + h4)(g2 + h2)(g + h)(g – h)

difference of squares
Difference of Squares

 Check for:

  • b = 0
  • minus sign
  • A and C have square roots ( )
practice problems
Practice Problems

4. 8x3 – 18x

5. 2y2 – 8y – 10

6. x4 – 16

7. m3 + 3m2 – 4m

8. 16x8 – 81y16

2x(2x – 3)(2x + 3)

2(y + 1)(y – 5)

(x2 + 4)(x + 2)(x – 2)

m(m – 1)(m + 4)

(4x4 + 9y8)(2x2 + 3y4)(2x2 – 3y4)

wrap up
Wrap Up

Factoring Completely (Multiple Times)

  • Factor GCF # ( )
  • Factor into ( ) ( )
  • Check each ( ) for difference of square

xeven – “squared”

HW: P. 408 #57-65 odd;

P. 409 #1-10all

DLUQ: For a problem to be a difference if square, what sign is in the middle?

mini quiz 10
Mini Quiz 10

1. 2.

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