Quiz about Factoring Polynomials All Methods Review

Question 1

Factor (Grouping):
20x³ - 25x² + 4x - 5

Accepted Answer

(5x² + 1) (4x - 5)

Answer

(5x² - 5) (4x + 1)

Answer

5 (x² - 1) (4x + 5)

Answer

(5x² + 1) (4x - 1)

Question 2

Factor (Harder Trinomial):
2x² - 5x - 3

Accepted Answer

(2x + 1) (x - 3)

Answer

(2x - 1) (x + 3)

Answer

(2x - 1) (x + 6)

Answer

(x + 1) (2x - 3)

Question 3

Factor (Harder Trinomial):
6x² + 7x - 3

Accepted Answer

(3x - 1) (2x + 3)

Answer

(3x + 1) (2x - 3)

Answer

(6x + 1) (x - 3)

Answer

(2x + 1) (3x - 3)

Question 4

Factor the Polynomial 2x³+ 5x² + 6x + 15

Accepted Answer

(x² + 3) (2x + 5)

Answer

(x² - 3) (2x - 5)

Answer

(2x² - 3) (x - 5)

Answer

(2x² + 3) (x + 5)

Question 5

Factor 4b⁵+4b³+16b²

Accepted Answer

4b²(b³+b+4)

Answer

4b³(b⁴+b²+4b)

Answer

4b³(b⁴+4b+5)

Answer

4(b⁵+b³+4b²)

Question 6

Factor (Harder Trinomial):
4x² - 8x + 3

Accepted Answer

(2x - 1) (2x - 3)

Answer

(2x + 1) (2x + 3)

Answer

(4x + 1) (x + 3)

Answer

(4x - 1) (x - 3)

Question 7

Factor (Easy Trinomial):
x² - 2x - 15

Accepted Answer

(x - 5)(x + 3)

Answer

(x + 3)(x - 5)

Answer

(x - 3)(x - 5)

Answer

(x - 15)(x - 2)

Question 8

Factor (Easy Trinomial):
x² + 8x - 20

Accepted Answer

(x + 10)(x - 2)

Answer

(x + 4)(x + 5)

Answer

(x - 10)(x + 2)

Answer

(x - 8)(x + 20)

Question 9

Factor (GCF):
12x + 9

Accepted Answer

3 (4x + 3)

Answer

x (12+9)

Answer

3 (4x - 3)

Answer

Prime

Question 10

Factor (GCF):
18a² - 15a

Accepted Answer

3a (6a - 5)

Answer

15a (3a - 1)

Answer

3a (6a - 1)

Answer

3 (6a - 5)

Question 11

Factor (Grouping):
x³ - 5x² + 5x - 25

Accepted Answer

(x² + 5) (x - 5)

Answer

(x² - 5) (x - 5)

Answer

(x² + 5) (x + 5)

Answer

(x² - 1) (x - 25)

Question 12

x2 - 16

Accepted Answer

( x - 4) ( x + 4)

Answer

Prime

Answer

( x - 8) ( x + 8)

Answer

( x - 4) ( x - 4)

Question 13

x2 - 169

Accepted Answer

( x - 13) ( x + 13)

Answer

( x + 13) ( x + 13)

Answer

( x - 13) ( x -13)

Answer

Prime

Question 14

Find the product.
(2y - 7)(3y + 5)

Accepted Answer

6y² - 11y - 35

Answer

y²+ 2y + 4

Answer

-35 - 11y + 6y²

Answer

2y²- 17y +30

Question 15

What are the factoring methods we have learned for factoring polynomials? (check all that apply)

Accepted Answer

Factor out a GCF

Accepted Answer

Difference of Squares

Accepted Answer

Factor by Grouping

Accepted Answer

Factor Quadratics with X and Simplify and Slide

Answer

Sum or Difference of Cubes

Question 16

Which of the following methods would be best to solve this equation by Factoring?
25x² - 16 = 0

Accepted Answer

Difference of Squares

Answer

GCF

Answer

X-Chart (when a =1)

Answer

Factor by Grouping

Factoring Polynomials All Methods Review

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics