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Name _______________________________________ Date __________________ Class __________________
3.5 – 4.2 Practice Worksheet
Factoring Polynomials
Determine whether the given binomial is a factor of the polynomial
P(x).
1. (x  4); P(x)  x 2  8x  48
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2. (x  5); P(x)  2x 2  6x  1
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Factor and solve each expression.
3. 2x 4  2x 3  10x 2  10x
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4. 4x 3 - x 2 + 8x  2
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5. 2x 4  54x
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Solve.
6. Since 2006, the water level in a certain pond
has been modeled by the polynomial
d(x)  x 3  16x 2  74x  140, where the depth
d, is measured in feet over x years. Use the graph to
factor d(x).
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Name _______________________________________ Date __________________ Class __________________
Factor each polynomial equation.
7. 9x 3  3x 2  3x  1  0
8. x 5  2x 4  24x 3  0
9. 5x 6  5x 4  x 3  x
Identify the roots of each equation. State the multiplicity of each root.
10. x 3  3x 2  3x  1  0
11. x 3  5x 2  8x  48  0
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Write the simplest polynomial function with the given zeros.
13. 4, 1, and 1
12.3, 1, and 5
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15. 2 and
14. 2i
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3
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Factor:
16. 7x2 – 10x + 3
17. 100x2 – 49
18. 36x2 - 4
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