Question

When `x^2 + 3x +b` is divided by `x+a`, the quotient is `x-2` and the remainder is 7. What is `a` and `b`?

Answer 1

`a = 5" "` and `" "b = -3`

Explanation:

Dividing by `(x-2)` we find:

`x^2+3x+b = (x-2)(x+5)+7 = x^2+3x-3`

So:

`a = 5" "` and `" "b = -3`