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Classifying polynomials by degree and number of terms

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Answer:

Explanation:

Polynomials are mathematical expressions that consist of variables raised to a power and combined with coefficients. The degree of a polynomial is the highest power of the variable in the expression. The number of terms in a polynomial is the number of separate terms that are added together to form the polynomial.

Here are some common examples of polynomials classified by degree and number of terms:

Degree 1, one term: a linear polynomial, such as 3x + 4

Degree 2, one term: a constant polynomial, such as 25

Degree 2, two terms: a quadratic polynomial, such as 3x^2 + 4x + 5

Degree 3, three terms: a cubic polynomial, such as 2x^3 + x^2 + 4x + 7

Degree 4, four terms: a quartic polynomial, such as x^4 + 3x^3 + 4x^2 + 2x + 6

Note that a polynomial with only one term is always a constant polynomial, regardless of its degree

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