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degree of a polynomial

Page history last edited by PBworks 13 years, 7 months ago

 

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. 

 

 

2x^3+7x^2-x+5                              -3x^5y^4+8x^3-2x^8y^2

 

 

 

 

 

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

 

 

 

 

nth degree- degree n polynomial for n a whole number

 

 

 

 

mono, bi, trinomial- 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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