Classifying Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients, combined using addition, subtraction, and multiplication.

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What are the degrees of polynomials?

Back

The degree of a polynomial is the highest power of the variable in the expression. It classifies polynomials as constant (degree 0), linear (degree 1), quadratic (degree 2), cubic (degree 3), and so on.

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How do you classify a polynomial by its degree?

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To classify a polynomial by its degree, identify the term with the highest exponent of the variable. The degree of that term determines the classification.

Front

What is a constant polynomial?

Back

A constant polynomial is a polynomial of degree 0, which means it has no variable term. It is represented by a single constant value.

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What is a linear polynomial?

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A linear polynomial is a polynomial of degree 1, which can be expressed in the form ax + b, where a and b are constants and a ≠ 0.

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What is a quadratic polynomial?

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A quadratic polynomial is a polynomial of degree 2, which can be expressed in the form ax² + bx + c, where a, b, and c are constants and a ≠ 0.

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What is a cubic polynomial?

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A cubic polynomial is a polynomial of degree 3, which can be expressed in the form ax³ + bx² + cx + d, where a, b, c, and d are constants and a ≠ 0.

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What is a monomial?

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A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables.

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What is a binomial?

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A binomial is a polynomial with exactly two terms, which can be combined using addition or subtraction.

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What is a trinomial?

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A trinomial is a polynomial with exactly three terms, which can be combined using addition or subtraction.