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 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, typically in the form of (x - c).

Tags

CCSS.HSA.APR.D.6

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What is the first step in Polynomial Long Division?

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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

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How do you check the result of Polynomial Long Division?

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You can check the result 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 does it mean if the remainder is zero in Polynomial Division?

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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 standard form of a polynomial?

Back

Front

What term must be added to the dividend if it is missing a degree?

Back

Tags

CCSS.HSA.APR.D.6

Front

Back

Tags

CCSS.HSA.APR.D.6

Front

What is the purpose of using Synthetic Division?

Back

Synthetic Division is used to simplify the process of dividing polynomials, especially when the divisor is a linear polynomial.

Tags

CCSS.HSA.APR.D.6

Front

What goes next to the number 5 in Synthetic Division if the divisor is (x - 5)?

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The next number is the result of multiplying the last number in the row by 5 and adding it to the next coefficient.

Tags

CCSS.HSA.APR.D.6