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

1 Answer
Dec 8, 2017

Standard form : #2p^2-p#
Classify by degree: Quadratic
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 #-4p+3p+2p^2#

We first combine like terms together

#-p+2p^2#

#Note: -4+3=-1, -1p=-p#

Now we rearrange it so the degrees are in descending order

#2p^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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