# Math 11 - Factoring Quadratics

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Math 11                                    Name___________________________________

Solving Quadratics By Factoring                           Date________________ Period____

Solve each equation by factoring.
1) x 2 + 9 x + 8 = 0                2) a 2 + 2a − 15 = 0

3) x 2 − 4 x = 0                    4) n 2 + n − 6 = 0

5) x 2 + 5 x − 14 = 0               6) n 2 + 13n + 40 = 0

7) n 2 + n − 19 = −7                8) b 2 + 3b − 7 = 3

9) x 2 + 5 x − 12 = −6              10) 4n 2 + 8n − 12 = 0

11) 3b 2 + 6b + 3 = 0               12) 2n 2 + 4n − 6 = 0

13) 2 p 2 + 16 p + 30 = 0           14) 5 x 2 + 7 x + 2 = 0

15) 2v 2 + v − 6 = 0                16) 3n 2 − 7n − 6 = 0

17) 5m 2 + 17m + 6 = 0              18) 5 x 2 + 13 x + 6 = 0

19) 2n 2 = 12 − 5n                  20) 7r 2 = −64 + 64r

21) 2k 2 + 5 = 7k + 2               22) 6b 2 − 7b − 12 = −2b + 3b 2
ID: 1
Math 11                                    Name___________________________________

Solving Quadratics By Factoring                           Date________________ Period____

Solve each equation by factoring.
1) x 2 + 9 x + 8 = 0                2) a 2 + 2a − 15 = 0
{−8, −1}                            {−5, 3}

3) x 2 − 4 x = 0                    4) n 2 + n − 6 = 0
{4, 0}                              {−3, 2}

5) x 2 + 5 x − 14 = 0               6) n 2 + 13n + 40 = 0
{−7, 2}                             {−8, −5}

7) n 2 + n − 19 = −7                8) b 2 + 3b − 7 = 3
{3, −4}                             {−5, 2}

9) x 2 + 5 x − 12 = −6              10) 4n 2 + 8n − 12 = 0
{1, −6}                             {1, −3}

11) 3b 2 + 6b + 3 = 0               12) 2n 2 + 4n − 6 = 0
{−1}                                {−3, 1}

13) 2 p 2 + 16 p + 30 = 0           14) 5 x 2 + 7 x + 2 = 0
{−5, −3}                              2
{− , −1}
5
15) 2v 2 + v − 6 = 0                16) 3n 2 − 7n − 6 = 0
3                                    2
{ , −2}                             {− , 3}
2                                    3
17) 5m 2 + 17m + 6 = 0              18) 5 x 2 + 13 x + 6 = 0
2                                   3
{− , −3}                            {− , −2}
5                                   5
19) 2n 2 = 12 − 5n                  20) 7r 2 = −64 + 64r
3                                   8
{ , −4}                             { , 8}
2                                   7
21) 2k 2 + 5 = 7k + 2               22) 6b 2 − 7b − 12 = −2b + 3b 2
1                                    4
{ , 3}                              {− , 3}
2                                    3

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