Factoring Worksheet
27.
19. Factor completely: 3x-3y2 - 147x
If Ann correctly factors an expression that is the
difference of two perfect squares, her factors could
be
20. Factor completely: 5x2y3 - 180y
A. (2x + y)(x - 2y)
B. (2x + 3y)(2x - 3y)
C. (x-4)(x-4)
D. (2y-5)(y-5)
21. Factor completely: 3x3 - 192x
28.
Factored completely, the expression
12x4 + 10x3 - 12x2 is equivalent to
A. X2(4X + 6)(3x - 2)
22. Factor completely: 3t3 + 5t2 - 12t
B. 2(2x2 + 3x)(3x2 - 2x)
C. 2X2(2X -- 3)(3x + 2)
D. 2x2(2x + 3)(3x- 2)
23.
If one factor of 56x4y3 -42x2y6 is 14xZy3, what is
the other factor?
A. 4x2 - 3y3
B. 4x2 - 3y2
C. 4x2y- 3xy3
D. 4x2y- 3xy2
29. Factor completely: 10axa - 23ax - 5a
24. Factor completely: 3x2 + 15x- 42
30.
When factored completely, x3 + 3x2 - 4x - 12
equals
A." (x + 2)(x- 2)(x- 3)
25. Factor completely: 5n2 - 80
B. (x+ 2)(x- 2)(x+ 3)
C. (x2-4)(x+ 3)
D. (x2 - 4)(x- 3)
26. Factor completely: 4x3 - 36x
page 2
Factoring Worksheet
Date:
Name:
1.
Factor: 25x2 - 9
10.
If (x - 13) is one factor of x2 - 9x - 52, the other
factor is
A. -(x+4)
2.
Factor: 9x2- 1
C. (x+5)
B. (x-4)
D. (x- 39)
3. Express x2 - 5x- 14 as a product of two binomials.
11. Factor completely: 2a2 + 2a - 84
4.
Factor: 4x2 - 9
12: Factor completely: 2x2 - 50
5,
6.
Express 2x2 -3x- 5 as the product of two
binomial factors.
13. Factor completely: 3x2 - 15x - 42
Express 2x2 -x - 3 as the product of two
binomials.
14. Factor completely: 2X2 -- 18
7. Factor: 1@2 - 9
15. Factor completely: 2x3 + 2x2 - 12x
8.
16. Factor completely:
3x3y- 12xy
17. Factor completely:
ax2- 16a
9,
Factor: 2x2 - 5x + 2
Expressed in factored form, the binomial
2xZy- 4:cy-3 is equivalent to
A. 2xy(x - 2y)
B. 2xy(xy - 4y)
C. 2xy(x - 2y2)
D. 2x2y3(y - 2)
18. Factor completely: x3 -x2-6x
page 1