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5.4 Exercise 54

Avg difficulty 2.5

Use synthetic division to find the quotient. Ensure the equation is in the form required by synthetic division. (Hint: divide the dividend and divisor by the coefficient of the linear term in the divisor.)

( x 4 −12 x 3 +54 x 2 −108x+81 )÷( x−3 ) \left(x^{4} - 12 x^{3} + 54 x^{2} - 108 x + 81\right) \div \left(x - 3\right)

OpenStax Algebra and Trigonometry 2e, 5.4 Dividing Polynomials, exercise 54

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.