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5.4 Exercise 52

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 −8 x 3 +24 x 2 −32x+16 )÷( x−2 ) \left(x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16\right) \div \left(x - 2\right)

OpenStax Algebra and Trigonometry 2e, 5.4 Dividing Polynomials, exercise 52

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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.