Question

Please help me use Factor Theorem to determine if the given binomial is a factor of the given polynomial function:
f(x) = 4x^4 - 20x^3 + 33x^2 - 22x + 5; x - 5/2

Answer 1

(A) f(-5/2) = 0; yes, the binomial is a factor of the polynomial
(B) f(5/2)=0 ; yes, the binomial is a factor of the polynomial
(C) f(-5/2) =/= 0; the binomial is not a factor of the polynomial.
(D) f(5/2) =/= 0; the binomial is not a factor of the polynomial

Answer 2

only B and D make sense, check those

Answer 3

when i say "check" i mean "cheat"
you are going to have to use a calculator anyways
it turns out \(\frac{5}{2}\) is a zero
http://www.wolframalpha.com/input/?i=+4x^4+-+20x^3+%2B+33x^2+-+22x+%2B+5

Answer 4

So my answer is B? @satellite73