6.
Express the polynomial -4p + 3p + 2p^2 in standard form and then classify it.

:Standard form:

2

x

2

+

x

Degree: quadratic

Number of terms: binomial

Explanation:

To write a polynomial in standard form, you write starting with the term with the highest degree, or exponent (in this case, the

x

2

term), and then in decreasing order. Since the

x

2

term is the term with the highest degree:

2

x

2

+

x

To classify a polynomial by degree, you look at the highest exponent, or degree. Since 2 is the highest exponent (

2

x

2

), it is a quadratic. Here are the first few:

Highest Exponent:

1

- linear

2

- quadratic

3

- cubic

4

- quartic

5

- quintic

To classify a polynomial by the number of terms, count how many terms are in the polynomial: In this polynomial, there are two terms,

2

x

2

and

x

. So, this is a binomial.

1 term- monomial

2 terms- binomial

3 terms- trinomial

4+ terms- polynomial

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