Question

if polynomials ax^3+3x^2-3 and 2x^3-5x+a a leaves the same remainder when each is divided by x-4 find the value of a​

Answer 1

p(x)=ax^3+3x^2-3

x-4=0

x=4

p(4)=a(4)^3+3(4)^2-3

R=64a+45........(1)

g(x)=2x^3-5x+a

g(4)=2(4)^3+5(4)+a

R=148+a........(2)

R=R

64a+45=148+a

63a=103

a=103/63