dividing polynomials by monomials

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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, combined using addition, subtraction, and multiplication.

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What is a monomial?

Back

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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How do you divide a polynomial by a monomial?

Back

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial separately.

Tags

CCSS.HSA.APR.D.6

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Back

2x^2 + 4x - 6.

Tags

CCSS.HSA.APR.D.6

Front

What is the remainder theorem?

Back

The remainder theorem states that the remainder of the division of a polynomial f(x) by (x - c) is equal to f(c).

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CCSS.HSA.APR.B.2

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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.

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What does it mean to simplify an expression?

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To simplify an expression means to reduce it to its simplest form, combining like terms and eliminating any unnecessary components.

Tags

CCSS.7.EE.A.1

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What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.

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CCSS.6.EE.A.2B

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Back

2k^2 + 5k - 4.

Tags

CCSS.HSA.APR.D.6

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What is the process of polynomial long division?

Back

Polynomial long division is a method used to divide polynomials similar to long division with numbers, involving dividing, multiplying, and subtracting.

Tags

CCSS.HSA.APR.D.6