Question

If x^2+x-2 divides p(x)=x^3+ax^3+bx-84 is exactly, find a and b.

Answer 1

if x^2+x-2 divides p(x)=x^3+ax^2+bx-84 then divisor must be x+24
bcoz 24×-2=-84
then multiply (x^2+x-2)(×+24)
then 25x^2=ax^2
a=25
22x=bx
b=22