Review on Factoring Polynomials and RAE

3

2

6

9

Look for the GCF

Write a, b, and c

Difference of squares

Group

4r²(2r - 4)

8r²(r - 2)

8(r³ - r²)

4(r³ - 2r²)

2n²(4n-1)

2n²(4n + 1)

n²(8n+2)

3n(4n+1)

7(x+3)

7x + 3

3(x + 7)

x(7 + 3)

(x²-2)(x-7)

(x²+2)(x-7)

(x²+2)(x+7)

(x²-2)(x+7)

(2p²+3)(p+2)

(2p²+6)(p+4)

(4p²+3)(p+2)

(4p²+8p)(3p+6)

(4x + 3)(7x + 9)

(7x + 3)(4x + 9)

(3x + 7)(4x + 9)

(9x + 4)(3x + 7)

$$\left(x+7\right)\left(x-7\right)$$  

$$7\left(x-7\right)$$  

$$\left(x-7\right)\left(x-7\right)$$  

$$x\left(x-7\right)$$  

(x - 200) (x + 200) 

(x + 20) (x + 20) 

(x + 40) (x - 10)

(x - 20) (x + 20) 

1

4

100

8

( x³ - 4)

( x² - 3)

( x² + 4)

( x² - 4)

(4x-9)(4x+9)

(2x-3)(2x+3)

2x-3

(2x-4.5)(2x+4.5)

( d+ 2)

( d - 2)

( d + 4)

(d - 4)

Because 4 is not a perfect cubed number.

Because 4 is not a perfect squared number.

Because 49 is not a perfect squared number.

Because we can't factor using difference of two squares if it is addition sign.

$$(m+18)(m-18)$$  

$$(m+6)^2$$  

$$\left(m\ -\ 6\right)^2$$  

$$(m\ +\ 6)\left(m\ -\ 6\right)$$  

Square of a Binomial

Difference of Two Squares

Product of Sum and Difference of Two Cubes

Sum or Difference of Two Cubes

(3x + 2)(9x² - 6x + 4)

(9x + 2)(3x² + 18x + 4)

(3x²+4)(9x + 2)

(27x + 8)(x² - 216x + 64)

(2x+3)(4x²-6x+9)

(2x-3)(4x²+6x+9)

(2x-3)(4x²+6x-9)

(2x-3)(2x²+6x+9)

(x + 7) (x² - 7x + 49)

(x² + 1) (x - 343)

(x - 7) (x² + 7x + 49)

(x² - 343) (x + 1)

64

27

81

16

(x + 10)(x² - 10x + 100)

(x - 10)(x² + 10x + 100)

(x - 1)(x² + 1x + 1)

(x - 5)(x² + 5x + 25)

TRUE

FALSE

(a-b)(a²+ab+b²)

(a+b)(a²-ab+b²)

(a-b)(a²-ab+b²)

(a+b)(a²+ab+b²)

(a-b)(a²+ab+b²)

(a+b)(a²-ab+b²)

(a-b)(a²-ab+b²)

(a+b)(a²+ab+b²)

(2x - 1)(4x² + 2x + 1)

(2x + 1)(4x² - 2x + 1)

(2x - 1)(4x² - 2x - 1)

(2x + 1)(4x² +2x + 1)

(x + 1)³

(x+1)(x² - x + 1)

(x - 1) (x² + x - 1)

(x + 1)(x² - 2x + 1)

$$(k+2)(k-5)$$  

$$(k+2)(k+5)$$  

$$(k+10)(k+4)$$  

$$(k-2)(k-5)$$  

2(m + 3)(m - 3)

(2m - 3)²

(m + 3)(2m - 3)

(2m + 3)(m - 3)

(x + 3)(5x - 2)

(x - 2)(5x - 3)

(x + 2)(5x + 3)

(x - 3)(5x + 2)

(2h - 2)²

4(h + 4)(h + 1)

(2h - 2)(2h + 2)

(h - 4)(4h - 1)

$$(k-4)(k+6)$$  

$$(k+4)(k+6)$$  

$$(k+6)(k-1)$$  

$$(k+4)(k-6)$$  

$$(x+4)(x+3)$$  

$$(x+2)(x+3)$$  

$$(x+4)(x+2)$$  

$$(x+5)(x+1)$$  

$$(x+12)(x-2)$$  

$$(x-4)(x-6)$$  

$$(x+10)(x-2)$$  

$$(x-2)(x-8)$$  

$$4\left(n+9\right)\left(n+10\right)$$  

$$\left(n-7\right)\left(n-5\right)$$  

$$\left(n-7\right)\left(n+5\right)$$  

Not Factorable

$$\left(m+7\right)\left(m-2\right)$$  

$$\left(m+3\right)\left(m-9\right)$$  

$$6m\left(m+8\right)$$  

$$\left(m+3\right)\left(m+9\right)$$  

(m + 2)(m +6)

(m + 1)(m + 7)

(m + 4)(m + 4)

(m + 3)(m + 5)