Question

Determine whether the given binomial is a factor of the polynomial P(x).

(x – 2); P(x) = 5x3 + x2 – 7

Yes
No

Answer 1

No, it is not a factor of P(x)=5
`x^(3)` + X^{2} -7 because when I used synthetic division, I got 37 as a remainder which means that (x-2) is not a factor. The remainder should be zero for it to be a factor.