Ch.7 Algebraic methods Flashcards

1
Q

what are the main 2 steps when simplifying an algebraic fraction?

A

1 - factorise the numerator and denominator where possible
2 - cancel common factors

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

what is a polynomial?

A

an expression (algebraic or numerical) with positive integer indicies

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

what does the factor theorem state?

A

if ( x ± p ) is a factor of a polynomial then -p substituted in will equal 0

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

what does ≡ mean?

A

the 2 expressions are mathematically identical

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

what are the 3 main types of mathematical proof?

A

proof by
- deduction
- exhaustion
- contradiction

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

how do you prove a mathematical statement is true by deduction?

A

using logic and algebra

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

how can you prove a mathematical statement is true by exhaustion?

A

breaking the statement into smaller cases and proving each one

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

how can you prove a mathematical statement is false by contradiction?

A

by using one counter example to disprove the statement

How well did you know this?
1
Not at all
2
3
4
5
Perfectly