Help
Options
Didn't know it?
click below
click below
Knew it?
click below
click below
Don't Know
Remaining cards (0)
Know
retry
shuffle
restart
0:00
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
algebraic methods
chapter 7 - algebraic methods
| Term | Definition |
|---|---|
| common factors | when the numerator and denominator are both multiplied by the same term, the common factor can be “cancelled” |
| polynomials | a finite termed expression containing natural number indices only |
| polynomial division | equivalent to long division, finding a multiple of the divisor that becomes the first term of the dividend, subtracting the difference and repeating the process until there is only the remainder |
| the factor theorem | if (ax-b) is a factor of a polynomial function f(x) (f(x)/(ax-b) has a remainder of 0), then f(b/a) = 0 |
| mathematical proofs | proofs showcase how a conjecture is true/false. In cases where the conjecture is always true |
| proof by deduction | proving a conjecture by starting with already true statements and using them to prove the conjecture |
| circular reasoning | when a conjecture is proved by using the conjecture itself (eg proving pythagorean's theorem via trigonometry and using sin^2(x) + cos^2(x) = 1, which is based on pythagorean’s theorem). This does NOT prove the conjecture. |
| identities | two expressions which are always true. proven by manipulating one side of the identity until it is exactly the same as the other side |
| proof by exhaustion | proving a conjecture by proving every possible case under the conjecture individually |
| disproof by counterexample / proof by contrapositive | disproving a conjecture by using a case where the conjecture is false (a contradiction is formed) |
Created by:
That cool NAMe
Popular Math sets