SOLUTION: What are the factors of the polynomial function? Use the rational root theorem to determine the factors. {{{ f(x)= 2x^3 + x^2 - 8x - 4 }}} Select EACH correct answer.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What are the factors of the polynomial function? Use the rational root theorem to determine the factors. {{{ f(x)= 2x^3 + x^2 - 8x - 4 }}} Select EACH correct answer.       Log On


   



Question 1127744: What are the factors of the polynomial function?
Use the rational root theorem to determine the factors.
+f%28x%29=+2x%5E3+%2B+x%5E2+-+8x+-+4++
Select EACH correct answer.
A. (2x + 1)
B. (2x - 1)
C. (x + 2)
D. (x - 2)
E. (x - 1)
F. (x + 1)
G. (x - 4)
H. (x + 4)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What are the factors of the polynomial function?
Use the rational root theorem to determine the factors.
+f%28x%29=+2x%5E3+%2B+x%5E2+-+8x+-+4++
f(x) = 2x%5E3+%2B+2x%5E2+-+8x+-+4
Select EACH correct answer.
A. (2x + 1)
B. (2x - 1)
C. (x + 2)
D. (x - 2)
E. (x - 1)
F. (x + 1)
G. (x - 4)
H. (x + 4)
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If ax - b is a factor, then b/a is a zero.
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Check A. (2x + 1)
--> -1/2 as a zero.
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f(x) = 2x^3 + 2x^2 - 8x - 4
f(-1/2) = 2(-1/8) + 2(1/4) +4 - 4 = 1/4, not a zero, not a factor
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Check the others the same way.