Polynomial Long Division

Front

What is Polynomial Long Division?

Back

A method for dividing a polynomial by another polynomial of the same or lower degree, similar to long division with numbers.

Front

What is the first step in Polynomial Long Division?

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Divide the leading term of the dividend by the leading term of the divisor.

Front

What do you do after finding the first term in Polynomial Long Division?

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Multiply the entire divisor by the term found and subtract the result from the dividend.

Front

What is the purpose of adding zero terms in Polynomial Long Division?

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To ensure that the polynomial is in standard form and to maintain the correct degree during division.

Front

How do you handle a remainder in Polynomial Long Division?

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Express the remainder as a fraction over the divisor and add it to the quotient.

Front

What is the result of (2x^3 + 5x^2 + 9) ÷ (x + 3)?

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The result is 2x^2 - 1x + 3 with a remainder.

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What does it mean if a division problem is incorrect in Polynomial Long Division?

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It means that the steps taken did not yield the correct quotient or remainder.

Front

What is the quotient of (4x^2 - 24x + 35) ÷ (2x - 5)?

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The quotient is 2x - 7.

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How do you simplify the expression -4x - (-17x)?

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The simplified expression is 13x.

Front

What is the significance of the leading coefficient in Polynomial Long Division?

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It determines the first term of the quotient and affects the overall division process.