What is the remainder theorem?
F(x) = Q(x) x divisor + remainder
F(x) = Q(x) x remainder + divisor
Q(x) = F(x) x divisor + remainder
Q(x) = F(x) x remainder + divisor
Algebraic fractions can be simplified by cancelling down. You should not factorise numerators and denominators before doing this.
If the numerator and denominator contain fractions then you can multiply both by the same number (the lowest common multiple) to create an equivalent fraction.
To multiply fractions, you simply flip the second fraction and continue to multiply across.
To divide two fractions, multiply the first fraction by the reciprocal of the second fraction.
To add (or subtract) fractions each fraction must have the same numerator.
When the numerator has a lower degree than the denominator, you can divide the terms to produce a 'mixed' number fraction.
