College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.5 - Page 74: 12



Work Step by Step

In step 1, use the associative property in order to group and isolate terms from each set of parentheses. Next, find the greatest common factors of each new group and pull them out. Then regroup the terms and combine all the terms to get the final answer. $(x^{3} - 3x^{2}) + (4x - 12)$ $= x^{2}(x-3) + 4(x-3)$ $= (x-3)(x^2+4)$
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