Polynomial In Standard Form Worksheet Page 3
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1
2
3
4Use synthetic division and the given factor to completely factor each polynomial function.
13x
3x
10x + 24; (x
3
2
3
2
29. y = x
30. y = x
+ 3x
15; (x + 5)
2)
Use synthetic division and the Remainder Theorem to find P(a).
12x
4x
+ 3x 6, a = 2
3
2
3
2
31. P(x) = 5x
32. P(x) = 2x
+ 2x + 1, a = 3
Write a polynomial function with rational coefficients so that P(x) = 0 has the given roots.
34. 5 , 1, and 1
33. 4 and 6
35. 5 and 3i
36. 5i and i
Find all roots for P(x) = 0.
5x
17x + 15
3
2
3
2
37. P(x) = x
38. P(x) = x
+ 2x + 8
+ x
3
2
3
2
39. P(x) = 2x
40. P(x) = x
+ 13x
+ 17x
12
+ 4x
+4x +16
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