Question

When `x^4 + 4x^3 +px^2 +qx + 5` is divided by `x^2 - 1` the remainder is 2x+3, how do you find the values of p and q?

Answer 1

Do the division (very carefully).

Explanation:

You'll get a linear remainder `ax+b` with `a` and `b` involving `p` and `q`.

Set the remainder from the division equal to `2x+3`.

The coefficient of `x` must be `2` and the constant must be `3`.