# DEGREE OF A POLYNOMIAL

**To find the degree of a polynomial, just find and count the biggest exponents. The green polynomial below is a 3rd degree polynomial because the biggest power is a cube. The purple polynomial below has a degree of 10 since 8+2=10 and that's the biggest one. **

polynomial- a collection of terms where each has the form and *i* is a whole number {0, 1, 2, 3, 4, 5, ...}

Example:

polynomial function- A **function** which is a collection of terms where each has the form and *i* is a whole number {0, 1, 2, 3, 4, 5, ...}.

Example:

degree of a polynomial- the highest whole number used as an exponent

leading coefficient- the numerical factor (coefficient, multiplier) of the term with the highest degree used in the polynomial

constant term- the term not involving the variable with its sign

quadratic, cubic, quartic- degree 2, 3 or 4

**n**^{th} degree- degree **n** polynomial for **n** a whole number

*mono*, *bi*, *tri*nomial- *one, two, three* terms

turning point- a local maximum or minimum where the graph of the functions changes from increasing to decreasing or vice versa

*x*-intercepts, real roots or real zeros- interchangeable terms for the location(s) where a graph crosses the *x*-axis

For more information click here.

## Comments (10)

## Anonymous said

at 9:53 am on Nov 5, 2007

hey garrick. nice page btw

## Anonymous said

at 9:57 am on Nov 5, 2007

very nice

## Anonymous said

at 10:17 am on Nov 5, 2007

nice page good examples

## Anonymous said

at 1:07 pm on Nov 5, 2007

bigger font would be better

## Anonymous said

at 2:29 pm on Nov 5, 2007

great job but bigger font would be better

## Anonymous said

at 2:36 pm on Nov 5, 2007

need picture

## Anonymous said

at 2:36 pm on Nov 5, 2007

nice page but it should be in your own words

## Anonymous said

at 2:56 pm on Nov 5, 2007

hard to read space out lines more

## Anonymous said

at 4:35 pm on Nov 21, 2007

Garrick, this doesn't sound like you. I question who wrote most of your content. You did not stay very focused on your subject and cause confusion by talking about coefficients and other stuff.

2 of 4 points

10 of 12 total project points.

## Anonymous said

at 11:02 pm on Nov 28, 2007

Hey Mr.Martin shouldn't it be 3 of 4 since the project point is 10 of 12? Just wondering.

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