Question

The polynomial q(z)=z^3 - 4z +a when divided by the polynomial (z- 3) leaves remainder 5. What is the value of a?​

Answer 1

Answer:

8

Step-by-step explanation:

We have q(z)= z³-4z+a

let g(z)= z-3

z-3=0

z=3

We know when q(z) is divided by g(z), remainder comes out to be 5

ATQ

(3)³-4(3)+a=5

9-12+a=5

-3+a=5

a=5+3

a=8