Stuck on this last piece of my homework and it's messing with my mind, a lot.
I know there are many math enthusiasts on here or just generally the intellect is very high, so I figured I'd ask here, help of course is highly appreciated.
f(x) = 6x^3 + px^2 + qx + 8 where p and q are constants.
Given that f(x) is exactly divisible by (2x-1), and also that when f(x) is divided by (x-1) the remainder is -7
a) find the value of p and the value of q
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I understand how to do the problem, but I am too lazy to actually do it. Honestly I don't see why you can't do it OP?