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What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 2x^2 + 3x - 5 is a polynomial.

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What is a monomial?

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A monomial is a polynomial with only one term. For example, 4x^3 is a monomial.

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How do you divide a polynomial by a monomial?

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To divide a polynomial by a monomial, divide each term of the polynomial by the monomial. For example, (2x^8 - 8x^2 - 28x) ÷ 2x = x^7 - 4x - 14.

Tags

CCSS.HSA.APR.D.6

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What is the result of (4x^2 + x) - (x^2 + 2x)?

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The result is 3x^2 - x.

Tags

CCSS.HSA.APR.A.1

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How do you find the sum of two polynomials?

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To find the sum, combine like terms. For example, (2x^2 + 5x - 7) + (3 - 4x^2 + 6x) = -2x^2 + 11x - 4.

Tags

CCSS.HSA.APR.A.1

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What is the process of polynomial multiplication?

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To multiply polynomials, use the distributive property (FOIL for binomials) to multiply each term in the first polynomial by each term in the second polynomial.

Tags

CCSS.HSA.APR.A.1

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What is the result of (5x + 1)(x + 4)?

Back

The result is 5x^2 + 21x + 4.

Tags

CCSS.HSA.APR.A.1

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What are like terms in a polynomial?

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Like terms are terms 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

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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 4x^3 + 2x^2 - x, the degree is 3.

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What is the leading coefficient of a polynomial?

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The leading coefficient is the coefficient of the term with the highest degree in the polynomial. For example, in 3x^4 + 2x^3 - x, the leading coefficient is 3.