Quiz about Factoring Preskills

Question 1

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 2

Factor (GCF):
12x + 9

Accepted Answer

3 (4x + 3)

Answer

x (12+9)

Answer

3 (4x - 3)

Answer

Prime

Question 3

Factor (GCF):
18a² - 15a

Accepted Answer

3a (6a - 5)

Answer

15a (3a - 1)

Answer

3a (6a - 1)

Answer

3 (6a - 5)

Question 4

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 5

Factor (DOTS):
x²- 16

Accepted Answer

( x - 4) ( x + 4)

Answer

Prime

Answer

( x - 8) ( x + 8)

Answer

( x - 4) ( x - 4)

Question 6

Name and Classify the Polynomial:
-4a² + a - 10

Accepted Answer

quadratic trinomial

Answer

quadratic binomial

Answer

linear trinomial

Answer

constant binomial

Question 7

Name and Classify the Polynomial:
2x³ + x

Accepted Answer

cubic binomial

Answer

quadratic binomial

Answer

linear binomial

Answer

quadratic trinomial

Question 8

Multiply:
x³ (2x² + 3x)

Accepted Answer

2x⁵ + 3x⁴

Answer

2x⁶ + 3x³

Answer

2x⁵ + 4x⁴

Answer

2x⁶ + 4x³

Question 9

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 10

Factor
k² - 2k - 24

Accepted Answer

(k+4)(k-6)

Answer

(k+4)(k+6)

Answer

(k+6)(k-1)

Answer

(k-4)(k+6)

Question 11

7r³-8r²+42r-48

Accepted Answer

(r²+6)(7r-8)

Answer

(r²+6)(7r+8)

Answer

(r²+6)(r²+8)

Answer

(r²+6)(7r+6)

Question 12

2x³-8x²-x+4

Accepted Answer

(2x²-1)(x-4)

Answer

2(x²-1)(x+4)

Answer

(x²-1)(2x-4)

Answer

(2x²+1)(x-4)

Question 13

Which of the following methods would be best to solve this equation by Factoring?
x²- 6x - 27 = 0

Accepted Answer

Trinomial when a = 1

Answer

Difference of Squares

Answer

Trinomial when a > 1

Answer

Factor by Grouping

Question 14

Which of the following methods would be best to solve this equation by Factoring?
7x³+ 49x²= 0

Accepted Answer

GCF

Answer

Trinomial a > 1

Answer

Diffefernce of Squares

Answer

Difference of Cubes

Question 15

Which of the following methods would be best to solve this equation by Factoring?
x³ + 3x² -4x - 12 = 0

Accepted Answer

Factor by Grouping

Answer

Trinomial a >1

Answer

Sum of Cubes

Answer

Difference of Squares

Question 16

Which of the following methods would be best to solve this equation by Factoring?
2x² - 17x + 36 = 0

Accepted Answer

Trinomial when a >1

Answer

Difference of Squares

Answer

Factor by Grouping

Answer

GCF

Question 17

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

Trinomial when a =1

Answer

Factor by Grouping

Question 18

Factor this Trinomial: x²+ 8x + 16

Accepted Answer

(x + 4) (x + 4)

Answer

(2x + 4) (2x + 4)

Answer

(x + 4) (x - 4)

Answer

(x² + 4) (x² +4)

Question 19

Factor:
2n³+16n+12

Accepted Answer

2(n³+8n+6)

Answer

2n(n³+24n+6)

Answer

2n(n³+8n+6)

Answer

3(n³+8n+6)

Question 20

How should 3a²- 16 + 20 be factored?

Accepted Answer

trinomials when a>1

Answer

Answer

difference of squares

Answer

trinomials when a =1

Question 21

How should x²- 256 be factored?

Accepted Answer

difference of squares

Answer

Answer

trinomials when a =1

Answer

trinomials when a>1

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