Question

on dividing f(X)+4x^4-5x^3-39x^2-46x-2 by the polynomial g(x),the quotient and remainder were x^2 -3x-5 and -5x+8 respectively.find g(x).
answer in brief

Answer 1

f(x)=g(x)×q(x)+r(x)
f(x)_r(x) =g(x)×q(x)
difference between f(x)and r(x)÷q(x) will be equal to g(x)
g(x)=4x^2+7x+2