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 1127754: 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)
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
More of the same.

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Rational Roots Theorem should tell you which roots to check, which would be -1, -1/2, -1/4, -2, -4, and 1, 1/2, 1/4, 2, 4.

Try to factorize f using synthetic division, looking for those which give remainder 0. You will have your answer.