# Precalculus Examples

Step 1

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of .

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Step 2

Divide the highest order term in the dividend by the highest order term in divisor .

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Step 3

Multiply the new quotient term by the divisor.

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Step 4

The expression needs to be subtracted from the dividend, so change all the signs in

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Step 5

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

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Step 6

Pull the next terms from the original dividend down into the current dividend.

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Step 7

Divide the highest order term in the dividend by the highest order term in divisor .

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Step 8

Multiply the new quotient term by the divisor.

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Step 9

The expression needs to be subtracted from the dividend, so change all the signs in

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Step 10

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

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Step 11

Pull the next terms from the original dividend down into the current dividend.

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Step 12

Divide the highest order term in the dividend by the highest order term in divisor .

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Step 13

Multiply the new quotient term by the divisor.

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Step 14

The expression needs to be subtracted from the dividend, so change all the signs in

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Step 15

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

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Step 16

The final answer is the quotient plus the remainder over the divisor.