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WorksheetsFactoring a Trinomial
Total questions: 25
Worksheet time: 37mins
Name
Class
Date
1.
Factor:
x2 + 7x - 30
x2 + 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
2.
Factor
x2 + 9x - 36
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
3.
Factor
x2 -16x + 48
x2 -16x + 48
a)
(x - 12)(x - 4)
b)
(x + 6)(x - 8)
c)
(x + 12)(x - 4)
d)
(x -16)(x - 3)
4.
Factor completely:
3x2 + 18x +15
Hint: Factor GCF first.
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
5.
Factor the trinomial.
w2 - 36
w2 - 36
a)
(w - 6)(w - 6)
b)
Cannot be factored.
c)
(w + 6)(w - 6)
d)
(w + 6)(w + 36)
6.
factor:x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
7.
Factor:
2n2 - 11n + 15
2n2 - 11n + 15
a)
(2n - 5)(n - 3)
b)
(2n - 3)(n - 5)
c)
(2n + 5)(n +3)
d)
(2n+3)(n +5)
8.
Factor:
4r2 + 17r + 15
4r2 + 17r + 15
a)
(2r + 5)(2r + 3)
b)
(2r + 3)(2r + 5)
c)
(4r + 3)(r + 5)
d)
(4r + 5)(r + 3)
9.
Factor:
3x2 + 7x + 2
3x2 + 7x + 2
a)
(3x + 2)(x +1)
b)
(3x + 1)(x +2)
c)
(3x + 2)(3x +1)
d)
(3x +1 )(x + 1)
10.
x2 - 169
a)
( x - 13) ( x + 13)
b)
( x + 13) ( x + 13)
c)
( x - 13) ( x -13)
d)
Prime
11.
x2 - 169
a)
( x - 13) ( x + 13)
b)
( x + 13) ( x + 13)
c)
( x - 13) ( x -13)
d)
Prime
12.
7x2 + 14x - 21
a)
7(x - 3) (x + 1)
b)
Prime Polynomial
c)
7(x - 1) (x + 3)
d)
(7x +1)(x - 3)
13.
Factor completely:
3x2 - 7x - 6
3x2 - 7x - 6
a)
(3x + 2)(x - 3)
b)
(3x - 2)(x + 3)
c)
(3x - 3)(x + 3)
d)
(3x - 4)(x - 2)
14.
Factor completely:
5x2 - 13x + 6
5x2 - 13x + 6
a)
(x + 3)(5x - 2)
b)
(x - 2)(5x - 3)
c)
(x + 2)(5x + 3)
d)
(x - 3)(5x + 2)
15.
Factor: m² - 441
a)
(m - 21)²
b)
(m + 21)(m - 21)
c)
(m + 21)²
d)
correct answer not given
16.
Factor:
4h² - 17h + 4
4h² - 17h + 4
a)
(2h - 2)²
b)
4(h + 4)(h + 1)
c)
(2h - 2)(2h + 2)
d)
(h - 4)(4h - 1)
17.
Factor:
2m² + 3m - 9
2m² + 3m - 9
a)
2(m + 3)(m - 3)
b)
(2m - 3)²
c)
(m + 3)(2m - 3)
d)
(2m + 3)(m - 3)
18.
Factor
3a2 + 4a + 1
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
19.
Factor
n2 + 16n + 63
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
20.
Factor
x2 + 9x - 36
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
21.
Factor completely.
3n2 - 4n + 1
3n2 - 4n + 1
a)
(3n - 1)(n - 1)
b)
Not factorable
c)
(3n - 1)(n + 1)
d)
(7n + 5)(n - 8)
22.
Factor completely.
2n2 + 13n + 15
2n2 + 13n + 15
a)
(5n - 9)(n - 3)
b)
(3n + 7)(n + 4)
c)
(2n + 3)(n + 5)
d)
Not factorable
23.
Factor completely.
3x2 - 75
3x2 - 75
a)
3( x + 5 ) ( x - 5 )
b)
Not factorable
c)
( x + 5 ) ( x - 5 )
d)
3( x - 5 ) ( x - 5 )
24.
Factor completely.
5x2 - 7x + 2
5x2 - 7x + 2
a)
5(x - 2)(x + 1)
b)
(5x - 2)(x + 1)
c)
(7x - 1)(x - 4)
d)
(5x - 2)(x - 1)
25.
Factor:
4h² - 17h + 4
4h² - 17h + 4
a)
(2h - 2)²
b)
4(h + 4)(h + 1)
c)
(2h - 2)(2h + 2)
d)
(h - 4)(4h - 1)
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