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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

Front

Back

Tags

CCSS.HSA.APR.D.6

Front

What mistake did Cam make in his Synthetic Division process?

Back

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

Front

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