Question

The polynomial ax³+3x²-13 and 2x³-5x+ a leave the same remainder when divided by (x-2). Find the value of a

Answer 1

Let p(x)=ax3+3x2-13

q(x)=2x3-5x+a

When p(x) and q(x) are divided by (x-2) they leave a same remainder R

p(2)=R

a(2)3+3(2)2-13=R

8a+12-13=R

8a-1=R ....(1)

q(2)=R

2(2)3-5(2)+a=R

16-10+a=R

6+a=R ...(2)

Equating 1 and 2

8a-1=6+a

7a=7

a=1

Answer 2

Hey dear

your answer is solved and pic


Hope it helps please mark as brain list