Math 3: Polynomials

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What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication. For example, 2x^2 + 3x + 1 is a polynomial.

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What are the parts of a polynomial called?

Back

The parts of a polynomial are called terms. Each term consists of a coefficient and a variable raised to a power.

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What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial. For example, in 4x^3 + 2x^2 + 5, the degree is 3.

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What is a monomial?

Back

A monomial is a polynomial with only one term. For example, 5x^2 is a monomial.

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What is a binomial?

Back

A binomial is a polynomial with two terms. For example, 3x + 4 is a binomial.

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What is a trinomial?

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A trinomial is a polynomial with three terms. For example, x^2 + 2x + 1 is a trinomial.

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How do you add polynomials?

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To add polynomials, combine like terms by adding their coefficients. For example, (2x + 3) + (3x + 4) = 5x + 7.

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How do you subtract polynomials?

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To subtract polynomials, subtract the coefficients of like terms. For example, (5x + 6) - (2x + 3) = 3x + 3.

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What is the product of two polynomials?

Back

The product of two polynomials is found by multiplying each term in the first polynomial by each term in the second polynomial. For example, (x + 2)(x + 3) = x^2 + 5x + 6.

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial. For example, in 4x^2, 4 is the coefficient.