Question 674214
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Hi,
The factor theorem states that a polynomial f(x) has a factor (x &#8722; k) if and only if f(k) = 0
So... (x-3) is a factor of p(x)=2x^4-5x^3-5x^2+18 || IF p(3) = 0
p(x) = 2x^4-5x^3-5x^2+18
{{{p(3) = 2(3)^4 - 5(3)^3 - 5(3)^2 + 18 = 2*81 - 5*27 - 5*9 + 18 = 0}}}
Yes.  (x-3) is a factor of p(x) = 2x^4-5x^3-5x^2+18