Question

if the polinomials x^3+ax^2+5 and x^3-2x^2+a are divided by (x+2) leave the same remainder find the value of a​

Answer 1

a=-13/3

Step-by-step explanation:

zero of x+2=-2

p(x)=x^3+ax^2+5

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

=-8+4a+5

=-3+4a

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

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

=-8-8+a

=-16+a

-3+4a=-16+a

4a-a=-16+3

3a=-13

a=-13/3

Thanks!