Pure Year 1 C7

Question 1

Factor theorem =

Answer 1

*** substitute into f(x) = 0

if f(p) = 0, then (x-p) is a factor

Question 2

Proof by deduction =

Answer 2

starting with known factors, using logical steps to reach conclusion

Question 3

To prove an identity..

Answer 3

1 start with expression on one side
2. manipulate expression to match other side

Question 4

Proof by exhaustion =

Answer 4

break statement into smaller cases and prove each one separately