Question

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

Answer 1

Standard form: `2x^3+2x^2+5x+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, `2x^3+2x^2+5x+4` is in standard form.
Number of terms is how many sections of the problems there are,
A term: `2x^2`
A term: `5x`
A term: `2x^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

Answer 2

Standard form `ax^2+bx+c`, with the greatest power first, then the second-largest, and so on

`2x^3 + 2x^2 + 5x + 4`

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

`2x^(color(red)(3)) + 2x^2 + 5x + 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

`2x^3 + 2x^2 + 5x + 4`

This is polynomial has `f o u r color(white)(.) terms`