Question

for what value of k,x-3 is a factor of p(x)=x3+x2-17x+k?

Answer 1

X-3 = 0
X =3
put value of X in the equation
3^3 + 3^2 -17*3 + k = 0
27 + 9 - 51 + k =0
k = 51-36= 15 answer

Answer 2

(X-3) is a factor
So x=3
P(3)=3(3)+2(3)-17(3)+k= 0
9 + 6 -51 +k =0
15-51+k=0
-36+k= 0
K = 36