Question

Find the value of k if the polynomial p(x)=kx3+9x2+4x+10 is divided by x-3 leaves as reminder-22

Answer 1

p(x)=kx3+9x2+4x+10
x-3
=>x=3
p(3)=-22
=>k(3)3+9(3)2+4(3)+10=-22
27k+81+12+10=-22
27k+103=-22
27k=-22-103
k=-125/27

Answer 2

p(x)=kx3+9x2+4x+10

x-3

=>x=3

p(3)=-22

=>k(3)3+9(3)2+4(3)+10=-22

27k+81+12+10=-22

27k+103=-22

27k=-22-103

k=-125/27