Factoring

Question 1

Factor x² + 5x + 6.

Answer 1

(x + 3)(x + 2)

Question 2

Factor x² - 13x + 36.

Answer 2

(x - 4)(x - 9)

Question 3

Factor x² - 16.

Answer 3

(x - 4)(x + 4)

Question 4

Factor x² + x.

Answer 4

x(x + 1)

Question 5

Factor x² + 3x.

Answer 5

x(x + 3)

Question 6

Factor x² + 4x + 4.

Answer 6

(x + 2)(x + 2)

or

(x + 2)²

Question 7

Factor x² + 12x + 36.

Answer 7

(x + 6)(x + 6)

or

(x + 6)²

Question 8

Factor x³ +7x² + 12x.

Answer 8

x(x + 3)(x + 4)

Question 9

Factor x² - 1.

Answer 9

(x + 1)(x - 1)

Question 10

Factor x² - 6x + 8.

Answer 10

(x - 2)(x - 4)

Question 11

Factor x² - 4x + 4.

Answer 11

(x - 2)(x - 2)

or

(x - 2)²

Question 12

Factor x² - 10x + 25.

Answer 12

(x - 5)(x - 5)

or

(x - 5)²

Question 13

Factor x² + 2x - 15.

Answer 13

(x - 3)(x + 5)

Question 14

Factor x² + 13x + 42.

Answer 14

(x + 6)(x + 7)

Question 15

Factor x² - 14x + 49.

Answer 15

(x - 7)(x - 7)

or

(x - 7)²

Question 16

Factor x² + 2x - 8.

Answer 16

(x - 2)(x + 4)

Question 17

Factor 12x² - 5x - 3.

Answer 17

(3x + 1)(4x - 3)

Question 18

Factor 3x² - 13x + 4.

Answer 18

(3x - 1)(x - 4)

Question 19

Factor 9x² - 64.

Answer 19

(3x - 8)(3x + 8)

Question 20

Factor 2x³ - 32x.

Answer 20

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

Question 21

Factor 3x² - 7x + 2.

Answer 21

(x - 2)(3x - 1)

Question 22

Factor 3x² - 3x.

Answer 22

3x(x - 1)

Question 23

Factor 3x² + 2x.

Answer 23

x(3x + 2)

Question 24

Factor 5x² - 13x + 6.

Answer 24

(5x - 3)(x - 2)

Question 25

Factor 6x² - x - 1.

Answer 25

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

Question 26

Factor 4x² + 16x + 15.

Answer 26

(2x + 5)(2x + 3)

Question 27

Factor 3x² - 25x + 8.

Answer 27

(3x - 1)(x - 8)

Question 28

Factor 4x² - 9x - 9.

Answer 28

(4x + 3)(x - 3)

Question 29

Factor 12x² + 11x + 2.

Answer 29

(4x + 1)(3x + 2)