operation of polynomials

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What is a polynomial?

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A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 4x^3 - 5x^2 + 3x is a polynomial.

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What is the degree of a polynomial?

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

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What is a binomial?

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A binomial is a polynomial that contains exactly two terms. For example, 3x + 5 is a binomial.

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What is a monomial?

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A monomial is a polynomial that contains exactly one term. For example, 7x^2 is a monomial.

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How do you add polynomials?

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To add polynomials, combine like terms. For example, (4x^2 + 3x) + (2x^2 + 5) = (4x^2 + 2x^2) + 3x + 5 = 6x^2 + 3x + 5.

Tags

CCSS.HSA.APR.A.1

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How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign and then combine like terms. For example, (4x^2 + 3x) - (2x^2 + 5) = (4x^2 - 2x^2) + 3x - 5 = 2x^2 + 3x - 5.

Tags

CCSS.HSA.APR.A.1

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What is the product of two polynomials?

Back

The product of two polynomials is found by using the distributive property (also known as the FOIL method for binomials). For example, (x + 2)(x + 3) = x^2 + 3x + 2x + 6 = x^2 + 5x + 6.

Tags

CCSS.HSA.APR.A.1

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What is a cubic polynomial?

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A cubic polynomial is a polynomial of degree 3. For example, 2x^3 - 4x^2 + x - 5 is a cubic polynomial.

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What is a quartic polynomial?

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A quartic polynomial is a polynomial of degree 4. For example, x^4 - 3x^3 + 2x^2 - x + 1 is a quartic polynomial.

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What are like terms?

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Like terms are terms in a polynomial that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms.

Tags

CCSS.6.EE.A.2B