Question 1

Which of the following is the correct factorization of $$6x^2 - 13x + 5$?

Accepted Answer

$$3x - 5 \ 2x - 1$$

Question 2

A perfect square trinomial can be factored as which of the following?

Accepted Answer

$$a^2 + 2ab$$ + $$b^2 = (a$$ + $$b)^2$$

Question 3

Which of the following is the correct factorization of $$4x^2 + 5x - 6$?

Accepted Answer

$$4x - 3 \ x + 2$$

Question 4

Which of the following is the correct factorization of $$10t^2 + 19t + 6$?

Accepted Answer

$$2t + 3 \ 5t + 2$$

Question 5

Which of the following is the correct factorization of $$3x^2 + 5x - 2$?

Accepted Answer

$$3x - 1 \ x + 2$$

Question 6

Which of the following is the correct factorization of $$3x^2 - 16x - 12$?

Accepted Answer

$$3x + 2 \ x - 6$$

Question 7

Which of the following is the correct factorization of $$x^2 - 9$?

Accepted Answer

$$(x - 3)(x + 3)$$

Question 8

Which of the following is the correct factorization of $$x^2 + 6x + 9$?

Accepted Answer

$$(x + 3)^2$

Question 9

Which of the following is the correct factorization of $$x^2 - 4x + 4$?

Accepted Answer

$$(x - 2)^2$

Question 10

Which of the following is the correct factorization of $$x^2 + 2x + 1$?

Accepted Answer

$$(x + 1)^2$

Question 11

Which of the following is the correct factorization of $$x^2 - 25$?

Accepted Answer

$$(x - 5)(x + 5)$$

Question 12

Which of the following is the correct factorization of $$x^2 + 10x + 25$?

Accepted Answer

$$(x + 5)^2$

Question 13

Which of the following is the correct factorization of $$x^2 - 8x + 16$?

Accepted Answer

$$(x - 4)^2$

Question 14

Which of the following is the correct factorization of $$x^2 - 1$?

Accepted Answer

$$(x - 1)(x + 1)$$

Question 15

Which of the following is the correct factorization of $$x^2 + 4x + 4$?

Accepted Answer

$$(x + 2)^2$

Question 16

Which of the following is the correct factorization of $$x^2 - 36$?

Accepted Answer

$$(x - 6)(x + 6)$$

Question 17

Which of the following is the correct factorization of $$x^2 + 12x + 36$?

Accepted Answer

$$(x + 6)^2$

Question 18

Which of the following is the correct factorization of $$x^2 - 49$?

Accepted Answer

$$(x - 7)(x + 7)$$

Question 19

Which of the following is the correct factorization of $$x^2 + 14x + 49$?

Accepted Answer

$$(x + 7)^2$

Factoring Polynomials: Methods and Applications

Study Guide - Practice Questions