How do you write a polynomial in standard form, then classify it by degree and number of terms x^7y^2 + 4x^3y + 10x^3?

1 Answer
Jacobi J.
Feb 22, 2018

Currently is in standard form, degree=9; There are 3 terms

Explanation:

Our polynomial is in standard form when the exponents of x are descending, and the exponents of y are descending. Right now, it is in standard form because from left to right, the exponents on x go from 7 to 3 to 3, and on the y terms, the exponents go from 2 to 1 to 0.

NOTE: y^0 can go at the end of the last term since it is equal to 1 and will not change the meaning of the expression.

Degree: This would be a 9th degree polynomial, because the highest exponent is on the term x^7y^2, and if we add the exponents, we get 9 as the degree.

Terms: The terms are separated by the addition signs, thus we have 3 terms.

Hope this helps!

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