Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-1 Simplifying Rational Expressions - Mixed Review - Page 657: 71

Answer

$(6t+1)(4t-3)$

Work Step by Step

By solving using the box method, it makes it a lot easier to determine what numbers are used in the factorization. You place the first term in the upper left-hand corner and the third term in the bottom right-hand corner. Multiply those two terms and write the product off to the side out of the box. You need to find two numbers that have a product of the number calculated in the prior step, but also have a sum of the second term. Put the two values in the remaining openings (one in each) in the box and find the greatest common factor in each row and column:
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