Comparing Synthetic and Long Division of Polynomials

Why is it important to understand both long division and synthetic division?

• Because they are both outdated methods.

• Because they are used in different subjects.

• Because they offer different advantages for polynomial division.

• Because one is easier than the other.

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CCSS.HSA.APR.D.6

What is the first step in setting up a polynomial for long division?

• Writing the divisor in ascending order.

• Writing the dividend in ascending order.

• Writing both the divisor and dividend in random order.

• Writing both the divisor and dividend in descending order.

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CCSS.HSA.APR.D.6

In long division, what do you do after dividing the first term of the dividend by the first term of the divisor?

• Multiply the result by the entire divisor and subtract from the dividend.

• Subtract the result from the dividend.

• Add the result to the dividend.

• Divide the result by the next term of the divisor.

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CCSS.HSA.APR.D.6

What is the value of 'k' in synthetic division?

• The value obtained by setting the divisor equal to zero and solving for x.

• The remainder after division.

• The coefficient of the highest degree term in the dividend.

• The constant term in the divisor.

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CCSS.HSA.APR.D.6

What is the first step in synthetic division after identifying 'k'?

• Write down the coefficients of the dividend.

• Divide the first term of the dividend by 'k'.

• Subtract 'k' from the first term of the dividend.

• Multiply 'k' by the first term of the dividend.

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CCSS.HSA.APR.D.6

In synthetic division, what do you do after bringing down the first coefficient?

• Add it to 'k'.

• Multiply it by 'k' and add the result to the next coefficient.

• Divide it by 'k'.

• Subtract it from 'k'.

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CCSS.HSA.APR.D.6

In the second example of long division, why is it helpful to use place values?

• To avoid using synthetic division.

• To keep track of missing terms.

• To simplify the multiplication process.

• To make the division faster.

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CCSS.HSA.APR.D.6

What is the main advantage of synthetic division over long division?

• It is more accurate.

• It can handle more complex polynomials.

• It is faster and simpler.

• It does not require any calculations.

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CCSS.HSA.APR.D.6

In the second example of synthetic division, what should you do if there are missing terms in the polynomial?

• Ignore the missing terms.

• Use zero as the coefficient for the missing terms.

• Replace the missing terms with the next highest term.

• Add the missing terms at the end.

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CCSS.HSA.APR.D.6

What does the final row in synthetic division represent?

• The value of 'k'.

• The coefficients of the quotient and the remainder.

• The coefficients of the divisor.

• The original polynomial.

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