Quiz about Factoring Test Review

Question 1

Factor by grouping:

$$4p^3+8p^2+3p+6$$

Accepted Answer

$$\left(4p^2+3\right)\left(p+2\right)$$

Answer

$$\left(2p^2+3\right)\left(p+2\right)$$

Answer

$$\left(2p^2+6\right)\left(p+4\right)$$

Answer

$$\left(4p^2+8p\right)\left(3p+6\right)$$

Question 2

Question 2.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 3

Factor the trinomial.

Accepted Answer

(x+10)(x+2)

Answer

(x+5)(x+4)

Answer

(x+20)(x+1)

Answer

(x+4)(x+3)

Question 4

Factor the trinomial.

Accepted Answer

3(x-5)(x-1)

Answer

3(x+3)(x-2)

Answer

3(x-3)(x-2)

Answer

(x+5)(x+1)

Question 5

Factor:
6k² - 19k - 7

Accepted Answer

(3k + 1)(2k - 7)

Answer

(k + 7)(6k - 1)

Answer

(2k + 1)(3k - 7)

Answer

(3k - 1)(2k - 7)

Question 6

Factor the Polynomial 12x³- 9x² + 4x - 3

Accepted Answer

(3x² + 1) (4x - 3)

Answer

(3x² - 1) (4x + 3)

Answer

(4x² + 1) (3x - 3)

Answer

(4x² - 1) (3x + 3)

Question 7

Factor: 56a³-8a

Accepted Answer

8a(7a2-1)

Answer

8a²(56a³-8a)

Answer

8a(7a3-a)

Answer

8a²(35a²-a)

Question 8

5ab²c¹¹ + 2bc⁵

Accepted Answer

bc⁵(5abc⁶ + 2)

Answer

bc⁵(5ab²c⁶ + 2b)

Answer

b²c⁵(5bc⁶ + 2)

Answer

c4(5a²b²c⁷+ 2bc)

Question 9

Factor
3v² - 4v - 7

Accepted Answer

(3v-7)(v+1)

Answer

3(v-7)(v-1)

Answer

(3v+1)(v-9)

Answer

(3v+1)(v-10)

Question 10

Factor completely.

121x² - 49

Accepted Answer

( 11x + 7 ) ( 11x - 7 )

Answer

( 11x - 7 ) ²

Answer

( 11x - 7 ) ( 11x - 7 )

Answer

( 12x + 7 ) ( 12x - 7 )

Question 11

36m² - 9
(Check for a GCF)

Accepted Answer

9(2m - 1)(2m + 1)

Answer

(6m + 3)(6m - 3)

Answer

9(4m² - 1)

Answer

Not Factorable

Question 12

Factor: x³+ 1

Accepted Answer

(x+1)(x²- x + 1)

Answer

(x + 1)3

Answer

(x - 1) (x² + x - 1)

Answer

(x + 1)(x² - 2x + 1)

Question 13

Factor the Polynomial 8x³- 64x² + x - 8

Accepted Answer

(8x² + 1) (x - 8)

Answer

(8x² - 1) (x + 8)

Answer

(x² + 1) (8x - 8)

Answer

(x² - 1) (8x + 8)

Question 14

Factor completely.
k² -2k - 24

Accepted Answer

(k+4)(k-6)

Answer

(k+4)(k+6)

Answer

(k+6)(k-1)

Answer

(k-4)(k+6)

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