# 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?

You'll get a linear remainder $a x + b$ with $a$ and $b$ involving $p$ and $q$.
Set the remainder from the division equal to $2 x + 3$.
The coefficient of $x$ must be $2$ and the constant must be $3$.