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An expression of the second degree can be any kind of expression, the most popular being a quadratic polynomial of the form ax^2 + bx + c.

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Q: What is an expression of second degree?
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What is the degree of the polynomial -2xy3 plus 3x2y?

I will assume that you mean -2xy3+3x2y. Then by "degree" is usually meant the total degree--the maximum sum of exponents of all variables. Here the first term has degree 1+3=4 and the second term has degree 2+1=3, so the degree of the entire expression is 4. It is also a 2nd degree expression in x and a 3rd degree expression in y.


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Is second-term polynominal a bionomial polynominal?

A binomial is an algebraic expression of the sum or the difference of two terms. A polynomial is an expression of more than two algebraic terms, esp. the sum of several terms that contain different powers of the same variable(s). The degree of a polynomial is the highest degree of its terms. Now that we have the definitions and the correct spellings out of the way, the answer to your question is a qualified no. There's no such thing as a second-term polynomial. I suspect you mean second degree, but both binomials and polynomials can be second-degree. There's also no such thing as a binomial polynomial. Expressions of two terms are binomials, more than two terms are polynomials, exactly three terms are trinomials.


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