#1 Algebraic Methods

What is a contradiction?

A disagreement between 2 statements, which means both cannot be true

Describe how to prove a statement by contradiction.

Start by assuming the statement is not true

Use logical steps to prove that this assumption leads to something impossible

Conclude that the assumption is incorrect and the original statement is true

State how to multiply algebraic fractions.

Cancel any common factors then multiply the numerators and the denominators

State how to divide algebraic fractions.

Multiply the first fraction by the reciprocal of the second and then cancel any common denominators

State how to add or subtract algebraic fractions.

Find a common denominator and add/subtract the numerators

State what is meant by splitting into partial fractions.

When a single fraction with 2 linear factors can be split into 2 seperate fractions with 2 linear denominators