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
SACE Polynomials
| Term | Definition |
|---|---|
| polynomial | an expression made of a number of terms with a variable raised to different powers |
| variable | a letter in a polynomial eg. x |
| coefficient | the number in front of a variable eg. the "3" in 3x |
| leading coefficient | the number in front of the variable with the highest power. |
| degree | the highest power of a variable in a polynomial |
| monic polynomial | a polynomial with degree 1 |
| quadratic | a polynomial with degree 2 |
| cubic | a polynomial with degree 3 |
| quartic | a polynomial with degree 4 |
| constant | a number in a polynomial that is without a variable |
| zero of a polynomial | the value of a variable which makes the polynomial equal to zero. If k is a zero, P(k)=0 |
| roots of a polynomial | solutions to the polynomial. If k is a root, P(k)=0 |
| factor of a polynomial | (x - k) where P(x) = (x - k) Q(x) |
| When are two polynomials equal? | When they have the same degree and matching terms have the same coefficients. |
| Divisor | (x - k) which is divided into the polynomial |
| The Remainder Theorem | P(k) = Remainder |
| The Factor Theorem | P(k) = 0 |
| How many factors does a polynomial of degree "n" have? | n |
| If a polynomial has a complex root eg a + ib, it will also have what other root? | the complex conjugate - a - ib |
| Quotient | Q(x) when P(x) is divided by (x-k) |
| Remainder | R - when P(x) is divided by (x-k) to get P(x) = (x-k)Q(x)+R |
Created by:
msemorrow
Popular Math sets