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19 September, 03:06

Classify this polynomial 5x^2 + 3

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  1. 19 September, 03:10
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    Degree is 2 so it is a quadratic.

    The number of terms is 2 so it is a binomial.

    It is a binomial quadratic.

    Step-by-step explanation:

    Let's find the degree of the polynomial first. I'm going to consider first the degrees of 5x^2 and 3.

    The degree of the monomial 5x^2 is 2 because x is the only variable and it's exponent is 2.

    The degree of the monomial 3 is 0 because there is no variable.

    The degree of 5x^2+3 is therefore 2 because that is the highest degree of the monomials contained with in this polynomial 5x^2+3.

    Degree 2 has a special name.

    The special name for a degree 2 polynomial is quadratic.

    Let's look at the number of terms in 5x^2+3.

    Terms are separated by addition and subtraction symbols so there are two terms.

    There is a special name for a two-termed polynomial, it is binomial.

    So this is the following information I collected on our given polynomial:

    Degree is 2 so it is a quadratic.

    The number of terms is 2 so it is a binomial.

    It is a binomial quadratic.
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