Polynomial Long and Synthetic Division

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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 numerical long division.

Tags

CCSS.HSA.APR.D.6

Front

What is Synthetic Division?

Back

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

Tags

CCSS.HSA.APR.D.6

Front

What is the first step in Polynomial Long Division?

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The first step is to arrange the dividend and divisor in descending order of their degrees.

Tags

CCSS.HSA.APR.D.6

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What do you do with the leading term of the divisor in Long Division?

Back

You divide the leading term of the dividend by the leading term of the divisor to find the first term of the quotient.

Tags

CCSS.HSA.APR.D.6

Front

What is the purpose of subtracting in Polynomial Long Division?

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Subtracting helps to eliminate the leading term of the dividend, allowing you to bring down the next term and continue the division process.

Tags

CCSS.HSA.APR.D.6

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What is a remainder in Polynomial Division?

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A remainder is what is left over after dividing a polynomial. It can be expressed as a polynomial of lower degree than the divisor.

Tags

CCSS.HSA.APR.B.2

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How do you check your work in 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

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What is the significance of inserting zero coefficients in Polynomial Long Division?

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Inserting zero coefficients ensures that all degrees of the polynomial are represented, which is crucial for accurate division.

Tags

CCSS.HSA.APR.D.6

Front

Back

Tags

CCSS.HSA.APR.D.6

Front

What is the next step after writing down the first term of the quotient in Long Division?

Back

Multiply the entire divisor by the first term of the quotient and subtract the result from the dividend.

Tags

CCSS.HSA.APR.D.6