Question

1.
(2 Points)
Find the value of k, if x3 + kx2 + 14x – 8 leaves a remainder
30 when divided by x + 1

Answer 1

Answer:

Let p(x)=x^3+kx^2+14x-8

Remainder =p(-1)

30= (-1)^3+k(-1)^2+14*(-1)-8

30= -1+k -14-8

30= -23+k

k=30+23=53