Dividing Polynomials

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What is polynomial division?

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Polynomial division is the process of dividing a polynomial by another polynomial, similar to long division with numbers.

Tags

CCSS.HSA.APR.D.6

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What is the quotient in polynomial division?

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The quotient is the result of dividing one polynomial by another.

Tags

CCSS.HSA.APR.D.6

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What is a monomial?

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A monomial is a polynomial with only one term, such as 3x^2 or -5.

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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.

Tags

CCSS.HSA.APR.D.6

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What is the remainder in polynomial division?

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The remainder is what is left over after dividing one polynomial by another.

Tags

CCSS.HSA.APR.B.2

Front

What is the first step in dividing polynomials?

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The first step is to arrange the polynomials in descending order of their degrees.

Tags

CCSS.HSA.APR.D.6

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How do you check your work after dividing polynomials?

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You can check your work by multiplying the quotient by the divisor and adding the remainder; it should equal the original polynomial.

Tags

CCSS.HSA.APR.D.6

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What is synthetic division?

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Synthetic division is a simplified method of dividing polynomials, particularly useful when dividing by linear factors.

Tags

CCSS.HSA.APR.D.6

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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.

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What does it mean to factor a polynomial?

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Factoring a polynomial means expressing it as a product of its factors.