Explanation A polynomial can be divided by a non-zero polynomial, producing a quotient and occasionally a remainder. In a division problem, the various polynomials are related in the following fashion, ( Dividend ) = ( Divisor ) × ( Quotient ) + ( Remainder ) The above relation can be rewritten as the following: ( Dividend ) ( Divisor ) = ( Quotient ) + ( Remainder ) ( Divisor ) While conducting the division, arrange the terms of divisor and dividend in descending powers of the variable. The quotient is obtained by finding the terms that divide the first term of dividend completely after subsequent subtraction from the previous dividend, till the remainder does not divide the remainder. Calculation: The given polynomial corresponding to the dividend is 3 x 3 + 10 x 2 − 9 x − 4 and to the divisor is x + 4 . Use rational long division, x + 4 3 x 2 − 2 x − 1 3 x 3 + 10 x 2 − 9 x − 4 3 x 3 + 12 x 2 _ − 2 x 2 − 9 x

10th Edition

ISBN: 9781285195728

Author: Jerome E. Kaufmann, Karen L. Schwitters

Publisher: Cengage Learning

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Chapter 4.CT, Problem 14CT

To determine

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Division on 3x3+10x2−9x−4 by x+4.

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Chapter 4.CT, Problem 13CT

Chapter 4.CT, Problem 15CT

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Intermediate Algebra

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