Question

 If f(x) = x3 - x 2 +2x +a is divisible by x +2 then find a.​

Answer 1

Answer:

16

Step-by-step explanation:

If (x+2) is divisible by x³-x²+2x+a then it means (x+2) is a factor of this polynomial

So,being a factor,

(x+2)=0

x=-2

f(-2)=x³-x²+2x+a=(-2)³-(-2)²+2(-2)+a

=-8-4-4+a

=-16+a

Being a factor, f(-2) should be 0

0=-16+a

a=16