Question

Give the degree and classify the polynomial by the number of terms. 3s³ +3s

A degree: 4, monomial
B degree: 4; binomial
C. degree: 3; monomial
D. degree: 3; binomial​

Answer 1

D

Explanation:

Edge 2022

Answer 2

Let's start with classifications:

monomial: there's only one term, so not + or -

examples:
`7x^5` or
`-9x`

binomial: there are two terms, so only one + or one -

examples:
`7x^5 - 9x` or
`-3x^2+1`

trinomial: there are three terms

examples:
`7x^5 - 9x^4 + 3` or
`-8p^3+2x^2-x`

Now the degree of a term is the number of variables multplied on that term.

example:
`7x^3` is degee three, because
`7x^3 = 7\cdot x\cdot x\cdot x` and there are three x's.

example:
`-8x^2` really means
`-8\cdot x\cdot x`, so that's degree 2.

Finally, the degree of a polynomial (which is what this is asking for) is the degree of the highest degree term.

example:
`7x^5 - 9x` has a 5th degree term and 1st degree term, so this is a degree 5 polynomial, since that's the greatest.