P5: Factoring Polynomials

​P5: Factoring Polynomials

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Multiple Choice

Factor using the GCF. #4

6m² + 16m

• 2(3m² + 8m)

• 2m(3m + 8)

• 2m(3m - 8m)

• Prime

Multiple Choice

What is the GCF of 5x² + 20x? #3

• 5

• x

• 5x

• 20x

Multiple Choice

Factor

4b⁵+4b³+16b²

^#5

• 4b³(b⁴+b²+4b)
• 4b³(b⁴+4b+5)
• 4(b⁵+b³+4b²)
• 4b²(b³+b+4)

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Multiple Choice

Factor x² + 9x - 36

#13

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

Multiple Choice

Factor: #18

 b² + 8b + 7

• (b + 4)(b + 3)
• (b + 6)(b + 1)
• (b + 7)(b +1)
• prime

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Multiple Choice

Factor 3v² - 4v - 7 #14

• (3v-7)(v+1)
• 3(v-7)(v-1)
• (3v+1)(v-9)
• (3v+1)(v-10)

Multiple Choice

Factor

3a² + 4a + 1

#16

• (7a-10)(a-8)
• Not factorable
• (3a+1)(a+1)
• (3a-1)(a-1)

Multiple Choice

Factor the polynomial. #10

x³ - x² + 2x - 2

• (x² + 2) (x - 1)

• (x² - 2) (x + 1)

• (x² + 1) (x - 2)

• (x² - 1) (x + 2)

Multiple Choice

Factor the polynomial.

12x³ - 9x² + 4x - 3

• (3x² + 1) (4x - 3)

• (3x² - 1) (4x + 3)

• (4x² + 1) (3x - 3)

• (4x² - 1) (3x + 3)

Multiple Choice

Factor the polynomial. #7

2x³ + 5x² + 6x + 15

• (x² + 3) (2x + 5)

• (x² - 3) (2x - 5)

• (2x² - 3) (x - 5)

• (2x² + 3) (x + 5)

Multiple Choice

Factor:

x² - 9

#24

• ( x -9) (x - 9)
• (x + 3) (x + 3)
• (x + 3) (x - 3)
• ( x + 9) (x-9)

Multiple Choice

Factor

x² - 400

#26

• ( x - 200) ( x + 200) 
• ( x + 20) ( x + 20) 
• Prime
• ( x - 20) ( x + 20) 

Multiple Choice

Factor: #29

25x² - 100y²

• ( 5x - 10y) (5xy + 10y) 
• ( 5x - 10y)²
• Prime
• ( 5x - 50y) (5x + 50y) 

Multiple Choice

Factor (HINT: GCF!!) #44

• $$8\left(x-2\right)\left(x^2+2x+4\right)$$  

• $$\left(2x-4\right)\left(4x^2+8x+16\right)$$  

• $$\left(2x-4\right)\left(2x^2+8x+16\right)$$  

• can't factor

Multiple Choice

The length of the rectangle at the right is 3x + 6, and the area is 6x² + 3x - 18. What expression represents the width (?) of the rectangle? #36

• 3x - 2

• 3x - 3

• 2x + 3

• 2x - 3

Multiple Choice

The glass in a picture frame measures 8 in. by 10 in. The border of the frame is a consistent x inches in width. Express the area of the frame's border, in terms of x. #39

• 4x² + 36x + 80 in²

• x² + 18x + 80 in²

• 4x² + 36x in²

• x² + 18x in²

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Multiple Choice

Complete the formula. #46

a³+b³=

• (a-b)(a²+ab+b²)

• (a+b)(a²-ab+b²)

• (a-b)(a²-ab+b²)

• (a+b)(a²+ab+b²)

Multiple Choice

Complete the formula. #45

a³-b³=

• (a-b)(a²+ab+b²)
• (a+b)(a²-ab+b²)
• (a-b)(a²-ab+b²)
• (a+b)(a²+ab+b²)

Multiple Choice

Factor

64x³ + 1 #50

• (4x - 3)(16x² + 12x + 9)
• (3x - 1)(9x² + 3x + 1)
• (2x - 1)(4x² + 2x + 1)
• (4x + 1)(16x² - 4x + 1)

Multiple Choice

Factor #49

x³ - 1000

• (x + 10)(x² - 10x + 100)
• (x - 10)(x² + 10x + 100)
• (x - 1)(x² + 1x + 1)
• (x - 5)(x² + 5x + 25)