Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 9 Quadratic Relations and Conic Sections - 9.2 Graph and Write Equations of Parabolas - 9.2 Exercises - Mixed Review - Page 625: 64

Answer

$$2x^3-9x^2+x+12$$

Work Step by Step

We do this problem like we did with the FOIL method. However, there now may be more than two terms per factor, so we cannot just multiply the first, outer, inner, and last terms together. Instead, we must be sure that all terms within both factors are multiplied by each other. Doing this, we find: $$\left(2x^2-x-3\right)\left(x-4\right)\\ 2x^3-9x^2+x+12$$
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