# How do you write a polynomial in standard form, then classify it by degree and number of terms #4x^2-3x^3+6x+7#?

##### 1 Answer

The expression in standard form is

There are 4 non-zero terms.

The degree is 3.

#### Explanation:

There are 4 terms. They are

#-3x^3# .#4x^2# .#6x# .#7# .

A polynomial in standard form should meet the following criteria:

- It should be expressed as a sum of, powers of
#x# (or any other variable used).

For example, this is in standard form

#x^2 - 4x + 3# ,not

#(x-1) * (x-3)# ,nor

#(x-2)^2 - 1# .

- The term with the highest power goes first.

For example, this is in standard form

#x^2 - 4x + 3# ,not

#3 - 4x + x^2# .

The polynomial

The degree of polynomial is the highest power throughout the polynomial.

Since the powers are in decreasing order for a polynomial, the degree would be the power of the first term, which is a.k.a. the leading term.

The first term is