How do you write a polynomial in standard form, then classify it by degree and number of terms #2m^2-3+7m#?

Question

How do you write a polynomial in standard form, then classify it by degree and number of terms  #2m^2-3+7m#?

Eva Adamson · Accepted Answer

Standard form: #2m^2 + 7m - 3#
Degree: #2#
Terms: #3# In standard form, these terms will be expressed from highest to lowest exponent: #2m^2 + 7m - 3# Classifying by degree means to find the highest exponent of the terms, so the degree is #2#. A term is a value split by the addition and subtraction operations, so there are #3# terms. Hope this helps!

Savannah Anderson · Answer

undefined To write a polynomial in standard form, arrange the terms in descending order of their exponents. For the given polynomial $2m^2 - 3 + 7m$, in standard form, it becomes $2m^2 + 7m - 3$.

The degree of a polynomial is the highest exponent of the variable present. In this case, the highest exponent is 2, so the polynomial is of degree 2.

The number of terms in a polynomial is the count of separate parts separated by addition or subtraction. In this case, there are three terms: $2m^2$, $7m$, and $-3$. Therefore, the polynomial has three terms.

Avery Alexander · Answer

undefined To write a polynomial in standard form, you arrange the terms in descending order of their exponents.

The given polynomial is $2m^2 - 3 + 7m$.

In standard form, it becomes $2m^2 + 7m - 3$.

This polynomial is a quadratic polynomial because the highest degree term (2nd degree) has an exponent of 2.

It has three terms, so it is also classified as a trinomial.