Factoring Polynomial Expressions Worksheet
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1Factoring Polynomial Expressions
Given the following polynomial expressions and their roots (zeroes), find the complete factored form of
each expression.
3
3
2
3
2
1. 2x
+ x
– 43x – 60, roots: -4,
, 5
2. x
+ 8x
+ 17x + 10, roots: -5, -1, -2
−
2
3
2
3
2
3. 2x
+ 8x
+ 2x -12, roots: -2, 1, -3
4. -3x
+ 24x
-12x -144, roots: 6, -2, 4
3
2
3
2
5. x
+ 5x
+ 7x + 3, roots: -1, -3
6. -x
- 7x
+ 42x + 216, roots: 6, -4, -9
4
1
3
2
3
2
7. 7x
+ 63x
+ 56x - 420, roots: 2, -5, -6
8. -12x
- 46x
- 22x + 24, roots:
,
, -3
−
3
2
5
3
3
3
2
3
2
9. 8x
– 22x
– 141x – 90, roots:
, 6,
10. 4x
- 8x
- 3x + 9, roots:
, -1
−
−
2
4
2
Find the roots (zeroes) of the following functions.
3
3
2
2
11. f(x) = x
– 9x
12. f(x) = x
+ 4x
– 5x
13. f(x) = -9x
+3x + 12
3
2
3
2
14. f(x) = x
+ 2x
+ 9x + 18
15. f(x) = 2x
- 12x
+ 16x - 96
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