How do you write polynomials in standard form

One way to write a polynomial is in standard form. In order to write any polynomial in standard form, you look at the degree of each term. You then write each term in order of degree, from highest to lowest, left to write.

Let’s look at an example.

Write the expression 3x−8+4x5 in standard form.

First, look at the degrees for each term in the expression.

3x has a degree of 1

8 has a degree of 0

4x5 has a degree of 5

Next, write this trinomial in order by degree, highest to lowest

4x5+3x−8

The answer is 4x5+3x−8.

The degree of a polynomial is the same as the degree of the highest term, so this expression is called a fifth degree trinomial.

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