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

Dec 8, 2017

Standard form : $2 {p}^{2} - p$
Classify by number of terms: Binomial

#### Explanation:

Standard form suggests that
- Combine all like terms together
- Rearrange it so that the degrees are arranged in a descending order from left to right.

So in $- 4 p + 3 p + 2 {p}^{2}$

We first combine like terms together

$- p + 2 {p}^{2}$

$N o t e : - 4 + 3 = - 1 , - 1 p = - p$

Now we rearrange it so the degrees are in descending order

$2 {p}^{2} - p$

We can see that the degree in ${p}^{2}$ is two, so it is classified as a quadratic.

We can also see that there are two terms in this equation, so it is classified as a binomial.
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