﻿ Factoring Worksheets | Problems & Solutions

# Factoring Worksheets

Factoring Worksheets
• Page 1
1.
Factor the expression ${x}^{4}$ + ${x}^{3}$ - 16$x$ -16 completely.
 a. (${x}^{3}$ + 16)($x$ - 1) b. (${x}^{3}$ + 16)($x$ + 1) c. (${x}^{3}$ - 16)($x$ + 1) d. (${x}^{3}$ - 1)($x$ + 16)

2.
Factor.
$x$2 - 4$x$ - 21
 a. ($x$ - 7)($x$ - 3) b. ($x$ - 7)($x$ + 3) c. ($x$ + 7)($x$ - 3) d. ($x$ + 7)($x$ + 3)

3.
Factor the expression completely.
 a. ($x$ - 3)($x$ + 4) b. ($x$ - 1)($x$ - 12) c. ($x$ + 3)($x$ + 4) d. ($x$ + 7)($x$ + 12)

4.
Factor 5$x$2 + 31$x$ + 30 completely.
 a. ($x$ + 5)(5$x$ + 6) b. ($x$ - 5)(5$x$ - 6) c. ($x$ + 5)(5$x$ - 6) d. ($x$ - 5)(5$x$ + 6)

5.
Factor the trinomial:
6$y$2 - 55$y$ - 50
 a. ($y$ - 5)(6$y$ + 10) b. ($y$ - 10)(6$y$ + 5) c. ($y$ + 6)(5$y$ + 5) d. ($y$ - 1)(6$y$ - 50)

6.
Factor completely.
 a. ($x$ - 1)($x$ + 32) b. ($x$ + 1)($x$ - 32) c. ($x$ - 4)($x$ + 8) d. ($x$ + 4)($x$ - 32)

7.
Factor:
36$c$2 - 25$z$2
 a. (6$c$ - 5$z$)2 b. (6$c$ + 5$z$) 2 c. (36$c$ - $z$)($c$ - 25$z$) d. (6$c$ + 5$z$)(6$c$ - 5$z$)

8.
Factor:
25$b$2 - 9$y$2
 a. (4$b$ + 3$y$)2 b. (25$b$ - $y$)($b$ - 9$y$) c. (5$b$ + 3$y$)(5$b$ - 3$y$) d. (4$b$ - 3$y$)2

9.
Factor:
25$s$2 - 64$t$2
 a. (5$s$ + 8$t$)2 b. (5$s$ - 8$t$)2 c. (5$s$ + 8$t$) (5$s$ - 8$t$) d. (25$s$ - $t$)($s$ - 64$t$)

$l$3 + $t$3 + $l$2 - $t$2
 a. ($l$3 + $t$3) b. ($l$ + $t$) ($l$2 - $l$$t$ + $t$2) c. ($l$3 + $t$3)($l$2 - $t$2) d. ($l$ + $t$) ($l$2 - $l$$t$ + $l$ - $t$ + $t$2)