Question

on dividing p(x) = 2x3 - 3x2 + ax - 3a+9 by (x+1), if the remainder is 16, then find the value of a. then, find the remainder on dividing p(x) by x+2.​

Answer 1

Answer:

a=-3

Step-by-step explanation:

Given p(x)=2x^3-3x^2+ax-3a+9

divisor=x+1

by factors theorem x+1=0 =>x=-1

also given p(-1)=16

=>2(-1)^3-3(-1)^2+a(-1)-3a+9=16

=>-2-3-a-3a+9=16

=>-4a+4=16

=>-4(a-1)=16

=>a-1=16/-4

=>a-1=-4

=>a=-4+1

=>a=-3