Quiz about Finding GCF Factoring

Question 1

Factor out the GCF

3x³ + 9x

Accepted Answer

3x (x²+ 3)

Answer

3x ( x³ + 9)

Answer

x (3x² + 9)

Answer

3x (x³ + 3x)

Question 2

Find the factors

$$24m^4n^2\ -\ 16m^3n^3$$

Accepted Answer

$$8m^3n^2\ \left(3m\ -\ 2n\right)$$

Answer

$$4m^3n^2\left(6m\ -\ 4n\right)$$

Answer

$$8mn\ \left(3m^4n^2\ -\ 2m^3n^3\right)$$

Answer

$$8m^3n^2\ \left(3mn\ -\ 2mn\right)$$

Question 3

What is the GCD of $$10x^2+50x-35$$ ?

Accepted Answer

5

Answer

10

Answer

7

Answer

2

Question 4

What is the first step when factoring polynomials?

Accepted Answer

Find the GCF

Answer

List all the terms

Answer

Make a triangle

Answer

Write the answer

Question 5

Factor by using GCF:

10x² + 15x - 5

Accepted Answer

5(2x²+3x-1)

Answer

25(10x³+45x-15)

Answer

5(2x³ + 3x²-x)

Answer

x(10x³+15x-5)

Question 6

Factor out the GCF in the polynomial $$12x^3 - 8x^2 + 4x$$ .

Accepted Answer

$$4x(3x^2 - 2x + 1)$$

Answer

$$2x(6x^2 - 4x + 2)$$

Answer

$$4x(3x^2 - 4x + 1)$$

Answer

$$4x(3x^2 + 2x - 1)$$

Question 7

What is the GCF of $$84x+98$$ ?

Accepted Answer

14

Answer

7

Answer

4

Answer

2

Question 8

Factor the GCD from $$210x^2+90x+120$$ .

Accepted Answer

$$30\left(7x^2+3x+4\right)$$

Answer

$$6\left(35x^2+15x+20\right)$$

Answer

$$10\left(21x^2+9x+12\right)$$

Answer

$$30\left(7x^2+3x+2\right)$$

Question 9

Factor $$-33x-88$$ completely.

Accepted Answer

$$-11\left(3x+8\right)$$

Answer

$$-11\left(3x-8\right)$$

Answer

$$11\left(3x-8\right)$$

Answer

$$11\left(3x+8\right)$$

Question 10

Find the factors of

x² + x - 6

Accepted Answer

(x + 3)(x - 2)

Answer

(x - 6)(x - 9)

Answer

(x + 3)(x + 2)

Answer

(x + 2)(x + 4)

Question 11

Find the factors of

x² - 5x - 36

Accepted Answer

(x + 4)(x - 9)

Answer

(x - 4)(x + 9)

Answer

(x - 9)(x + 6)

Answer

(x + 4)(x + 9)

Question 12

Find the factors of 5m² - 45m + 90

Accepted Answer

5(m - 3)(m - 6)

Answer

3(m + 1)(m + 8)

Answer

2(m - 7)(m + 3)

Answer

5(m - 5)(m + 3)

Question 13

Find the factors of

2b² + 14b - 16

Accepted Answer

2(b - 1)(b + 8)

Answer

6(b - 1)(b - 5)

Answer

2(b + 1)(b - 8)

Answer

2(b - 1)(b - 8)

Question 14

Find the factors of

5k² - 18k + 9

Accepted Answer

(5k - 3)(k - 3)

Answer

(3k + 5)(k - 10)

Answer

(2k - 1)(k + 6)

Answer

(5k + 7)(k + 6)

Question 15

Find the factors of

2x² + 21x + 10

Accepted Answer

(2x + 1)(x + 10)

Answer

(3x + 10)(x - 6)

Answer

2(x + 1)(x + 5)

Answer

2(x + 1)(x - 10)

Question 16

Find the factors of

5n² + 11n - 12

Accepted Answer

(5n - 4)(n + 3)

Answer

(n - 4)(5n + 3)

Answer

(2n - 9)(n - 8)

Answer

(3n + 10)(n + 10)

Question 17

Which step is NEVER used when factoring polynomials? Select all the apply.

Accepted Answer

Finding the factors of the middle term

Accepted Answer

Find the square root of the last term

Answer

Multiplying the first and the last term

Answer

Factoring out the GCF

Answer

Find the sum of the factors that equal the middle term

Question 18

What is the first step in factoring this problem? 3b² + 17b + 20

Accepted Answer

Multiply

Answer

List the factors of 20

Answer

List the factors of 60

Answer

Factor out the GCF

Finding GCF Factoring

19 questions

Factor out the GCF

3x³ + 9x

What is the first step when factoring polynomials?

Factor by using GCF:
10x² + 15x - 5

Match each definition with its corresponding vocabulary term.

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Popular Resources on Wayground

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Finding GCF Factoring

19 questions

Factor out the GCF3x3 + 9x

What is the first step when factoring polynomials?

Factor by using GCF:10x2 + 15x - 5

Match each definition with its corresponding vocabulary term.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Factor out the GCF

3x³ + 9x

Factor by using GCF:
10x² + 15x - 5