Question

If the polynomial p(x)=kx^3+9x^2+4x-8 is
divided by (x+3) and the remainder is 7.
Find the value of k.

Answer 1

Answer:

x+3=0

x=-3

put x-3

k(-3)^3+9(-3)^2+4(-3)-8=7

-27k+81+(-12)-8=7

-27k+81-12-8=7

-27k+61=7

-27k=7-61

-27k=-54

k= -54÷-27

k=2