I need to name this polynomial. y=(x+4)(x+1)(x-3)

Would it be a cubic polynomial because it's all multiplying, or would it be a linear?

Pleaseexplainit to me..

Thanks:)

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- Jul 18th 2012, 05:59 PMemmalouskiNaming Polynomials
I need to name this polynomial. y=(x+4)(x+1)(x-3)

Would it be a cubic polynomial because it's all multiplying, or would it be a linear?

Please**explain**it to me..

Thanks:) - Jul 18th 2012, 06:42 PMpickslidesRe: Naming Polynomials
Its a cubic because once you expand it out (try it!) you get x cubed as the term with the highest order.

- Jul 18th 2012, 09:37 PMrichard1234Re: Naming Polynomials
It's definitely cubic. It has exactly three roots.

- Jul 18th 2012, 10:47 PMpratique21Re: Naming Polynomials
Naming of polynomial in general is in accordance to the Order of the equation.

Now, what is order ?

Consider a polynomial in a single variable 'x'. Write the polynomial in its fully expanded form. Now search for the term that has the highest power on 'x' (like x squared or cubed etc.) Now that gives you the order of the polynomial. Now the naming is simple

Order Name

1 Linear

2 Quadratic

3 Cubic

4 Bi-quadratic

and so on...

Hope that clears it ! :) - Jul 18th 2012, 11:26 PMProve ItRe: Naming Polynomials
- Jul 19th 2012, 12:19 AMDevenoRe: Naming Polynomials
to clarify: a general 4-th degree polynomial in x (or use your favorite variable name) is called a quartic (in x). a bi-quadratic is a quadratic in x

^{2}, which is a special kind of quartic.

to continue:

5-th degree polynomials are quintics, 6-th degree are sextics, and 7-th degree are septics. if you are dealing with even higher-level polynomials, although "latin" names do exists, it is usually easier to refer to them as "k-th degree polynomials" (and easier to remember, too).