AS Pure Chapter 7: Algebraic Methods

6 flashcards · Mathematics · by TheoTyson

1. In the factor theorem, if f(p)=0f(p) = 0f(p)=0 then ...

   ... (x−p)(x-p)(x−p) is a factor of f(p)f(p)f(p) .

2. In the factor theorem, if (x−p)(x-p)(x−p) is a factor of f(p)f(p)f(p) then ...

   ... f(p)=0f(p) = 0f(p)=0 .

3. How do you prove an identity?

   Start with one side of the identity and manipulate it until it matches the other side.

4. What is proof by deduction?

   Starting from a known point and using logical steps to reach the desired statement.

5. What is proof by exhaustion?

   Trying every possible case of the statement and proving they are all true.

6. What is proof by counter-example?

   Finding one example that does not work is enough to disprove the statement.