Name :
MS1
Factorize each quadratic expression.
1)
1
1
s2 + s + 1
16
2
2)
81w2 – 121x2
3)
–18y2 + 45yz – 72xy
4)
–10 + 7t – t2
5)
8p2 – 6pq – 9q2
6)
–a2 +
7)
117 + 13c2 – 130c
8)
72u2 – 2v2
9)
1
m2 – 49
100
10)
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1
a
6
12 – 7k + k2
Name :
Answer key
Factoring Quadratic Expressions
MS1
Factorize each quadratic expression.
1)
1
1
s2 + s + 1
16
2
2)
2
1
s+1
4
3)
–18y2 + 45yz – 72xy
(9w + 11x)(9w – 11x)
4)
–9y(2y – 5z + 8x)
5)
8p2 – 6pq – 9q2
117 + 13c2 – 130c
6)
1
m2 – 49
100
–a2 +
1
a
6
–a a –
8)
13(c – 9)(c – 1)
9)
–10 + 7t – t2
–(t – 5)(t – 2)
(2p – 3q)(4p + 3q)
7)
81w2 – 121x2
1
6
72u2 – 2v2
2(6u + v)(6u – v)
10)
1
1
m+7
m–7
10
10
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12 – 7k + k2
(k – 4)(k – 3)
Name :
MS2
Factorize each quadratic expression.
1)
x2 + 196 + 28x
2)
1
1
c2 –
d2
81
4
3)
–95ab – 90bc – 5b
4)
10m2 – 17mn + 7n2
5)
7t2 + 21t – 126
6)
64g2 – 121h2
7)
1
1
1
u2 + v2 + uv
4
9
3
8)
80 – 70z – 10z2
9)
49q2 – 25
10)
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13p2 – 26
Name :
Answer key
Factoring Quadratic Expressions
MS2
Factorize each quadratic expression.
1)
x2 + 196 + 28x
2)
1 c+ 1d 1 c– 1d
2
9
9
2
(x + 14)2
3)
–95ab – 90bc – 5b
4)
–5b(19a + 18c + 1)
5)
7t2 + 21t – 126
1
1
1
u2 + v2 + uv
4
9
3
6)
49q2 – 25
64g2 – 121h2
(8g + 11h)(8g – 11h)
8)
1
1 2
u+ v
2
3
9)
10m2 – 17mn + 7n2
(10m – 7n)(m – n)
7(t – 3)(t + 6)
7)
1
1
c2 –
d2
81
4
80 – 70z – 10z2
–10(z + 8)(z – 1)
10)
(7q + 5)(7q – 5)
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13p2 – 26
13(p2 – 2)
Name :
MS3
Factorize each quadratic expression.
1)
–p2 – pq +
1
p
2
2)
3h2 + 33h + 84
3)
29n –100 – n2
4)
1 1
–
k2
9 49
5)
–ab –
6)
3z2 + 26z – 29
7)
m2 + 49 – 14m
8)
–17g2 – 17g + 102
9)
36vw + 42uv
1
a
7
10)
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c2 +
1
d2 + cd
4
Name :
Answer key
Factoring Quadratic Expressions
Factorize each quadratic expression.
1)
–p2 – pq +
1
p
2
2)
–p p + q – 1
2
3)
29n –100 – n2
3(h + 7)(h + 4)
4)
–ab –
1
a
7
–a b +
7)
6)
1
7
m2 + 49 – 14m
36vw + 42uv
3z2 + 26z – 29
(3z + 29)(z – 1)
8)
(m – 7)2
9)
1 1
–
k2
9 49
1 + 1k 1 – 1k
3 7
3 7
–(n – 25)(n – 4)
5)
3h2 + 33h + 84
–17g2 – 17g + 102
–17(g + 3)(g – 2)
10)
6v(6w + 7u)
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c2 +
1
d2 + cd
4
c+
1 2
d
2
MS3