Naming Polynomials

• Jul 18th 2012, 06:59 PM
emmalouski
Naming 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?

Thanks:)
• Jul 18th 2012, 07:42 PM
pickslides
Re: 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, 10:37 PM
richard1234
Re: Naming Polynomials
It's definitely cubic. It has exactly three roots.
• Jul 18th 2012, 11:47 PM
pratique21
Re: 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
3 Cubic
and so on...

Hope that clears it ! :)
• Jul 19th 2012, 12:26 AM
Prove It
Re: Naming Polynomials
Quote:

Originally Posted by pratique21
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
3 Cubic