Kuta Software - Infinite Algebra 2
Name___________________________________
More on Factors, Zeros, and Dividing
Date________________ Period____
Factor each and find all zeros. One factor has been given. 1) f ( x) = x 3 + 9 x 2 + 23 x + 15; x + 5
2) f ( x) = x 3 − x 2 − 14 x + 24; x − 3
3) f ( x) = x 4 + 3 x 3 − 13 x 2 − 15 x; x − 3
4) f ( x) = x 3 − 12 x 2 + 47 x − 60; x − 3
5) f ( x) = x 3 − 7 x 2 + 2 x + 40; x − 5
6) f ( x) = x 3 − 3 x 2 − 9 x + 27; x − 3
7) f ( x) = 10 x 3 + 37 x 2 + 37 x + 6; 5 x + 1
8) f ( x) = 25 x 3 + 150 x 2 + 131 x + 30; 5 x + 3
9) f ( x) = 5 x 3 + 21 x 2 − 21 x − 5; x + 5
10) f ( x) = 3 x 3 − 4 x 2 − 9 x + 10; x − 2
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Worksheet by Kuta Software LLC
11) f ( x) = 5 x 3 + 9 x 2 − 26 x − 24; x + 3
12) f ( x) = 6 x 3 + 7 x 2 − 1; 2 x + 1
Factor each and find all zeros. One zero has been given. 13) f ( x) = 5 x 3 + 4 x 2 − 20 x − 16; 2
14) f ( x) = 25 x 4 − 40 x 3 − 19 x 2 − 2 x; −
5 15) f ( x) = 3 x + 5 x + 81 x + 135; − 3
16) f ( x) = 2 x 4 − x 3 − 18 x 2 + 9 x; −3
5 17) f ( x) = 10 x − 41 x + 32 x + 20; 2
18) f ( x) = 3 x 3 + 4 x 2 − 35 x − 12; 3
4
3
3
2
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Name___________________________________
More on Factors, Zeros, and Dividing
Date________________ Period____
Factor each and find all zeros. One factor has been given. 1) f ( x) = x 3 + 9 x 2 + 23 x + 15; x + 5
2) f ( x) = x 3 − x 2 − 14 x + 24; x − 3
Factors to: f ( x) = ( x + 1)( x + 3)( x + 5) Zeros: {−1, −3, −5}
3) f ( x) = x 4 + 3 x 3 − 13 x 2 − 15 x; x − 3
Factors to: f ( x) = ( x − 2)( x + 4)( x − 3) Zeros: {2, −4, 3}
4) f ( x) = x 3 − 12 x 2 + 47 x − 60; x − 3
Factors to: f ( x) = x( x + 1)( x + 5)( x − 3) Zeros: {0, −1, −5, 3}
5) f ( x) = x 3 − 7 x 2 + 2 x + 40; x − 5
Factors to: f ( x) = ( x − 4)( x − 5)( x − 3) Zeros: {4, 5, 3}
6) f ( x) = x 3 − 3 x 2 − 9 x + 27; x − 3
Factors to: f ( x) = ( x + 2)( x − 4)( x − 5) Zeros: {−2, 4, 5}
7) f ( x) = 10 x 3 + 37 x 2 + 37 x + 6; 5 x + 1
Factors to: f ( x) = ( x + 3)( x − 3) Zeros: {−3, 3 mult. 2}
8) f ( x) = 25 x 3 + 150 x 2 + 131 x + 30; 5 x + 3
Factors to: f ( x) = (2 x + 3)( x + 2)(5 x + 1) 3 1 Zeros: − , −2, − 2 5
{
Factors to: f ( x) = (5 x + 2)( x + 5)(5 x + 3) 2 3 Zeros: − , −5, − 5 5
}
9) f ( x) = 5 x 3 + 21 x 2 − 21 x − 5; x + 5
{
Factors to: f ( x) = (3 x + 5)( x − 1)( x − 2) 5 Zeros: − , 1, 2 3
}
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}
10) f ( x) = 3 x 3 − 4 x 2 − 9 x + 10; x − 2
Factors to: f ( x) = (5 x + 1)( x − 1)( x + 5) 1 Zeros: − , 1, −5 5
{
2
{
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}
Worksheet by Kuta Software LLC
11) f ( x) = 5 x 3 + 9 x 2 − 26 x − 24; x + 3
12) f ( x) = 6 x 3 + 7 x 2 − 1; 2 x + 1
Factors to: f ( x) = (5 x + 4)( x − 2)( x + 3) 4 Zeros: − , 2, −3 5
{
Factors to: f ( x) = (3 x − 1)( x + 1)(2 x + 1) 1 1 Zeros: , −1, − 3 2
}
{
}
Factor each and find all zeros. One zero has been given. 13) f ( x) = 5 x 3 + 4 x 2 − 20 x − 16; 2
14) f ( x) = 25 x 4 − 40 x 3 − 19 x 2 − 2 x; −
Factors to: f ( x) = (5 x + 4)( x + 2)( x − 2) 4 Zeros: − , −2, 2 5
{
}
2
Factors to: f ( x) = x(5 x + 1) ( x − 2) 1 Zeros: 0, − mult. 2, 2 5
{
3
Factors to: f ( x) = x(2 x − 1)( x − 3)( x + 3) 1 Zeros: 0, , 3, −3 2
{
Factors to: f ( x) = ( x + 3)( x 2 − 3 x + 9)(3 x + 5) 3 + 3i 3 3 − 3i 3 5 Zeros: −3, , ,− 2 2 3
{
}
5 17) f ( x) = 10 x − 41 x + 32 x + 20; 2 3
2
}
18) f ( x) = 3 x 3 + 4 x 2 − 35 x − 12; 3 Factors to: f ( x) = (3 x + 1)( x + 4)( x − 3) 1 Zeros: − , −4, 3 3
{
Factors to: f ( x) = (5 x + 2)( x − 2)(2 x − 5) 2 5 Zeros: − , 2, 5 2
{
}
16) f ( x) = 2 x 4 − x 3 − 18 x 2 + 9 x; −3
5 15) f ( x) = 3 x + 5 x + 81 x + 135; − 3 4
1 5
}
}
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Worksheet by Kuta Software LLC