Factoring All Types

Factoring All Types

Multiple Choice

 $\left(1.\right)\ \ Factor\ by\ GCF:\ \ \ \ m^5n^{12}-m^3n^7+m^4n^5$  

•  $m^3n^5\left(m^2n^7-n^2+m\right)$  

•  $m^2n^2\left(m^3n^{10}-mn^5+m^2n^3\right)$  

Multiple Choice

2.) Factor by GCF

-10xy⁹z + 8y³z⁵

• 2y⁴z(-20xy⁶ + 4z⁴)

• 2y³z(-5xy⁶ +4z⁴)

• 2y³z(-5xy⁶z + 4z⁵)

• 2y³z(-5xy⁶z + 8z⁴)

Multiple Choice

3.) Factor the Difference of Squares:

81m² - 1

• not factorable

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)

Multiple Choice

4.) Factor

x² - 25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

Multiple Choice

5.) Factor the Sum of Cubes: 27x³ + 8

• (3x + 2)(9x² - 6x + 4)

• (9x + 2)(3x² + 18x + 4)

• (3x²+4)(9x + 2)

• (27x + 8)(x² - 216x + 64)

Multiple Choice

6.) Factor the Difference of Cubes: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)

• (2x + 1)(4x² - 2x + 1)

• (2x - 1)(4x² - 2x - 1)

• (2x + 1)(4x² +2x + 1)

Multiple Choice

7.) Factor the Simple Trinomial

x²-2x-15

• (x+5)(x-3)

• (x-5)(x-3)

• (x-5)(x+3)

• (x+5)(x+3)

Multiple Choice

8.) Factor the trinomial:

x² + 7x - 30

• (x + 10)(x - 7)

• (x - 10)(x + 3)

• (x + 10)(x + 3)

• (x + 10)(x - 3)

Multiple Choice

9.) Factor the trinomial:

5x²-28x+32

• (3x-10)(x+6)

• (x-8)(5x-4)

• (5x-8)(x-4)

• (5x-8)(x+7)

Multiple Choice

10.) Factor the Trinomial:

3v² - 4v - 7

• (3v-7)(v+1)

• 3(v-7)(v-1)

• (3v+1)(v-9)

• (3v+1)(v-10)

Multiple Choice

11.) Factor by Grouping: 4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Multiple Choice

12.) Factor by Grouping: p³ - 3p² - 16p + 48

(Hint: You will have to factor 3 times)

• p² ( p - 3) (p - 3)

• (p² - 16) (p - 3)

• (p + 4) (p - 4) (p - 3)