Synthetic Division

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What is Synthetic Division?

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A method used to divide a polynomial by a linear factor of the form (x - c) efficiently without using long division.

Tags

CCSS.HSA.APR.D.6

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When can we use Synthetic Division?

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Synthetic Division can be used when dividing a polynomial by a linear factor with a leading coefficient of 1.

Tags

CCSS.HSA.APR.D.6

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What is the first step in Synthetic Division?

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Write down the coefficients of the polynomial in descending order, including zeroes for any missing degrees.

Tags

CCSS.HSA.APR.D.6

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How do you determine the value of 'c' in Synthetic Division for (x - c)?

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The value of 'c' is the root of the linear factor; for (x - 3), c = 3.

Tags

CCSS.HSA.APR.D.6

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What is the role of the remainder in Synthetic Division?

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The remainder represents the part of the polynomial that cannot be divided evenly by the linear factor.

Tags

CCSS.HSA.APR.D.6

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Back

Tags

CCSS.HSA.APR.D.6

Front

What mistake did Cam make in his Synthetic Division process?

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Tags

CCSS.HSA.APR.D.6

Front

Back

Tags

CCSS.HSA.APR.D.6

Front

What is a zero placeholder in Synthetic Division?

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A zero placeholder is used to represent missing terms in the polynomial, ensuring proper alignment during the division process.

Tags

CCSS.HSA.APR.D.6

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What is the significance of the leading coefficient in Synthetic Division?

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The leading coefficient must be 1 for Synthetic Division to be applicable; otherwise, polynomial long division should be used.

Tags

CCSS.HSA.APR.D.6