Polynomial Factoring and GCF Quiz

Test your knowledge on polynomial factoring and finding greatest common factors (GCF) with these practice questions.

Practice Learn Test

What is the Greatest Common Factor (GCF) of 12 and 18?

Determine the GCF of 16 and 24.

What is the GCF of 40 and 60?

Find the GCF of 84 and 105.

What is the GCF of 32 and 48?

Factorize the polynomial x^2 - 4x + 4.

(x - 2)^2

(x + 2)^2

(x - 4)(x + 1)

(x + 4)(x - 1)

Find the GCF of 24, 36, and 48.

Factorize the expression 3x^2 - 12x + 12.

3(x - 2)^2

3(x + 2)^2

3(x - 4)(x + 1)

3(x + 4)(x - 1)

Find the GCF of 54 and 72.

#10

Factorize the trinomial 2x^2 - 11x + 15.

(2x - 3)(x - 5)

(2x + 3)(x - 5)

(2x - 3)(x + 5)

(2x + 3)(x + 5)

#11

Determine the GCF of 63 and 81.

#12

Factorize the quadratic expression 2x^2 - 8x + 8.

2(x - 2)^2

2(x + 2)^2

2(x - 4)(x + 1)

2(x + 4)(x - 1)

#13

What is the GCF of 36 and 48 expressed in prime factorization?

2^2 * 3

2^3 * 3

2^2 * 3^2

2^3 * 3^3

#14

Factorize the polynomial 4x^2 - 25.

(2x - 5)(2x + 5)

(2x - 5)^2

(2x + 5)^2

(2x - 5)(2x + 25)

#15

Factorize the expression x^3 - 8.

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

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

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

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

#16

Factorize the expression 6x^2 - 27.

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

3(2x - 3)(2x + 9)

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

3(2x + 3)(2x + 9)

#17

What is the GCF of 72 and 120 expressed in prime factorization?

2^2 * 3^2 * 5

2^3 * 3 * 5

2^2 * 3 * 5^2

2^3 * 3^2 * 5