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Mathematics 14 Online
OpenStudy (ashontae19):

classify 3X^5+5x^4-7x^3+15

OpenStudy (ashontae19):

by the number of terms

OpenStudy (ashontae19):

can anyone please help me

OpenStudy (ashontae19):

@mathmale

OpenStudy (skullpatrol):

Polynomials are classified by the degree of the polynomial which is the greatest of the degrees of its terms after it has been simplified

OpenStudy (ashontae19):

yes i got 5 but im thinking it may be 3

OpenStudy (ashontae19):

@skullpatrol

OpenStudy (skullpatrol):

Why 3?

OpenStudy (skullpatrol):

Sure 3 terms have x's in them, but that's not what the definition says :-)

OpenStudy (ashontae19):

so was i correct 5?

OpenStudy (skullpatrol):

Yes, 5 is the correct answer.

OpenStudy (ashontae19):

my answer choices are binonmial trinomial polynomial of 4 polynomial of 5

OpenStudy (ashontae19):

@skullpatrol

OpenStudy (skullpatrol):

Polynomials are classified as linear, quadratic, cubic, quartic and what you have there is a quintic because of the x^5.

OpenStudy (ashontae19):

thanks so much

OpenStudy (unklerhaukus):

there are four terms here

OpenStudy (ashontae19):

so you are saying he is wrong?

OpenStudy (unklerhaukus):

The question is not asking for you to classify the polynomial based on the degree, it is asking you to classify according to the number of terms

OpenStudy (unklerhaukus):

Yes it is a quintic function, but that does not answer the question given.

OpenStudy (skullpatrol):

Monomial, binomial, trinomial, and polynomial are the classification by the number of terms.

OpenStudy (ashontae19):

here is the question im kinda confused now

OpenStudy (unklerhaukus):

i count 4 terms

OpenStudy (ashontae19):

so it counted by the number of terms that are four?

OpenStudy (unklerhaukus):

\[\overbrace{3x^5}^{\text{term}}+\overbrace{5x^4}^{\text{term}}+\overbrace{-7x^3}^{\text{term}}+\overbrace{15}^{\text{term}}\]

OpenStudy (skullpatrol):

Yes, 4 terms.

OpenStudy (ashontae19):

so who correct?

OpenStudy (unklerhaukus):

a binomial, has two terms a trinomial, has three terms a polynomial of 4 terms, has four terms a polynomial of 5 terms, has five terms

OpenStudy (skullpatrol):

4 terms is correct.

OpenStudy (ashontae19):

ok thanks

OpenStudy (skullpatrol):

Thanks for asking :-)

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