Polynomial Long Division & Synthetic Division Practice

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What is Polynomial Long Division?

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Polynomial Long Division is a method used to divide a polynomial by another polynomial of the same or lower degree, similar to long division with numbers.

Tags

CCSS.HSA.APR.D.6

Front

What is Synthetic Division?

Back

Synthetic Division is a simplified form of polynomial long division that is used when dividing by a linear factor of the form (x - c). It is faster and requires less writing.

Tags

CCSS.HSA.APR.D.6

Front

What is the first step in Polynomial Long Division?

Back

The first step is to divide the leading term of the dividend by the leading term of the divisor.

Tags

CCSS.HSA.APR.D.6

Front

How do you handle missing exponents in a polynomial?

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You must place a zero as a coefficient for any missing exponent to maintain the correct degree of the polynomial.

Front

Back

Tags

CCSS.HSA.APR.D.6

Front

What does it mean if the remainder is zero in polynomial division?

Back

If the remainder is zero, it means that the divisor is a factor of the dividend.

Tags

CCSS.HSA.APR.B.2

Front

What is the relationship between the degree of the dividend and the divisor in polynomial division?

Back

The degree of the dividend must be greater than or equal to the degree of the divisor for polynomial division to be valid.

Tags

CCSS.HSA.APR.D.6

Front

What is the purpose of the quotient in polynomial division?

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The quotient represents how many times the divisor fits into the dividend, and it is the result of the division.

Tags

CCSS.HSA.APR.D.6

Front

What is the standard form of a polynomial?

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The standard form of a polynomial is written in descending order of the degree of its terms, from highest to lowest.

Front

How do you check your work after performing polynomial long division?

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

Tags

CCSS.HSA.APR.D.6