Question 1127744
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  }}}
f(x) = {{{2x^3 + 2x^2 - 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.