Review question

# If dividing by $x+a$ or $x-2a$ gives the same remainder, what's $a$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6488

## Question

1. The expressions $px^4 - 5x + q$ and $x^4 - 2x^3 - px^2 - qx - 8$ have a common factor $x - 2$. Find the value of $p$ and of $q$.

2. The expression $x^3 - x^2 - 2x - 3$ has the same remainder when divided by $x + a$ and by $x - 2a$. Find the non-zero values of $a$ and the corresponding values of the remainder.