1.1proof by contradiction, 1.2 algebraic fractions, 1.3 partial fractions, 1.4 repeated factors, 1.5 algebraic division

How do you prove a statement by contradiction?

What is a negation?

A statement that asserts the falsehood of another statement

Example 1

Example 2

What is a rational number?

What is an irrational number?

What represents the set of all rational numbers?

Need to know:

Prove by contradiction that √2 is an irrational number

Need to know:

Prove by contradiction that there are infinitely many prime numbers

Example 5

How do you divide two fractions?

Example 6

How do you add or subtract two fractions?

Find a common denominator

Example 7a,b,c

Example 7D

Partial fractions recap

Example 8

Partial fractions when there are more than two distinct linear factors in the denominator recap

Example 9

Repeated factors recap

Example 10

Algebraic division recap

Example 11 part 1

Example 11 part 2

Example 12

Example 13

Example 14