Question

What is the value of K such that (x^3-2x^2+kx-30)/(x-5) has a remainder of 0

Answer 1

the divisor is x-5, so the number you try is when x-5=0, which is x=5

5 I 1 -2 k -30
I 5 15 5(k+15)
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1 3 k+15 -30+5(k+15)
for the remainder to be 0, that is, -30+5(k+15)=0
-30+5k+75=0
k=-9