Hi, Find k, if x+2k is a factor of p(x). p(x) =3x^2+6kx^2-14x-3 Pls answer this and u will be given the brainliest crown !!!
The first person gets it if the answer is correct​

Step-by-step explanation:

First off, your polynomial should be a third degree, not a second degree. That's probably why you didn't get someone to answer this for you already.

If x + 2k is a factor of that polynomial, then by the Zero Product Property

x + 2k = 0 and x = -2k. That means that, by the factor theorem, f(-2k) = 0 (which means that if you plug -2k in for all the x's you get a zero). Therefore,

the answer is in picture