Question

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

Answer 1

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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