# How do you write a polynomial in standard form, then classify it by degree and number of terms 2x^2+5x+2x^3+4?

Feb 10, 2018

Standard form: $2 {x}^{3} + 2 {x}^{2} + 5 x + 4$
Classification of number of terms: polynomial
Classification of the degree: cubic

#### Explanation:

Standard form is when you organize the problem by biggest exponent to smallest exponent.
So, $2 {x}^{3} + 2 {x}^{2} + 5 x + 4$ is in standard form.
Number of terms is how many sections of the problems there are,
A term: $2 {x}^{2}$
A term: $5 x$
A term: $2 {x}^{3}$
A term: $4$
So in all, there is 4 terms because there are four digits.
The classification of it's number of terms is the mathematical term of the number of terms, 4, which is just called a polynomial because it has four or more terms.
The classification of it's degree is the mathematical term of what the biggest exponent is, which is 3:
the biggest exponent is 3, so the classification is cubic
The classification of it's number of terms is
Hopefully that helps! Comment down below if you have any suggestions

Feb 10, 2018

Standard form $a {x}^{2} + b x + c$, with the greatest power first, then the second-largest, and so on

$2 {x}^{3} + 2 {x}^{2} + 5 x + 4$

Now let's classify this by degree. That means we look at the first degree, which should be the largest.

$2 {x}^{\textcolor{red}{3}} + 2 {x}^{2} + 5 x + 4$

So this is $3$rd degree polynomial

Now let's classify this by number of terms. Terms are the components in an expression, separated by either addition or subtraction

$2 {x}^{3} + 2 {x}^{2} + 5 x + 4$

This is polynomial has $f o u r \textcolor{w h i t e}{.} t e r m s$