Question

The polynomial ax3+3x2-13 and 2x3-5x+a are devided by x-2. The remainder in both the cases are same. Find the value of (a).​

Answer 1

Let P1(x)= ax³+2x²-13 and

P2(x)=2x³-5x+a

P1(-2)=P2(-2)

a(-2)³+3(-2)²-13=2(-2)³-5(-2)+a

-8a+12-13=-16+10+a

-9a-1=-6

-9a=-5

a=5/9