Q&A for How to Classify Polynomials

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How would you classify: 2x^2+7?

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That is a second-degree binomial, as the highest power is two and there are two terms.

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Question

What is the degree and polynomial of 18x²-12x+5?

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That is a second-degree trinomial, because its highest exponent is2, and it has three terms.

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What is the degree of -2x^3+5x+8?

I_l1ke_gam3s

Community Answer

Third degree (the highest power is three).

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What is the term for a 4th degree polynomial?

Iris8989

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People don't use this term often, but a 4th degree polynomial is called a quartic function.

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Classify the number of terms in 6x.

Iris8989

Community Answer

6x is one term. A term can consist of just a variable (like x or y), or a coefficient and a variable (like 4a or -2x). The coefficient and the variable are multiplied together. If there were more terms added together, you could classify it as a polynomial (like 4x + 6 or 3x^2 + 5x - 3).

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What is the degree when there are no exponents?

Iris8989

Community Answer

When there are no exponents, the degree is one. You don't need to write the 1 with the term because everything raised to the power of one will equal itself. For example, 3^1 equals 3 (the same applies for variables and other numbers).

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Is only a coefficient a monomial?

Iris8989

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Yes, a coefficient with no variable in front of it is just a number. All numbers are monomials.

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What is this polynomial? -8x^3+2x^2

Community Answer

That is a third-degree binomial.

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