Algebra 1

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

Chapter 8 - Polynomials and Factoring - 8-6 Factoring ax(squared) + bx + c - Practice and Problem-Solving Exercises - Page 509: 24



Work Step by Step

Given the polynomial $6s^{2}$ + 57s + 72 We see that the three terms have a common factor of 3 so we factor out a 3. 3($2s^{2}$ + 19s + 24) *** We break of the middle term into two factors that add to give +19 and multiply to give +48. The two numbers are +16 and +3. 3($2s^{2}$ + 16s + 3s + 24) We take the GCD of the first two and the GCD of the last two terms. 3(2s(s+8)+3(s+8)) We take (s+8) and factor it out which gives us. 3(2s+3)(s+8)
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