Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 6 - Section 6.3 - Factoring Trinomials of the Form ax2+bx+c - Exercise Set - Page 436: 79

Answer

$a*(6a^2+b^2)(a^2+6b^2)$

Work Step by Step

$6a^5+37a^3b^2+6ab^4$ $a*(6a^4+37a^2b^2+6b^4)$ Factors of 6: 1 and 6, 2 and 3, -1 and -6, -2 and -3 $(6a^2+b^2)(a^2+6b^2)$ $6a^2*a^2+6a^2*6b^2+a^2*b^2+b^2*6b^2$ $6a^4+36a^2b^2+a^2*b^2+6b^4$ $6a^4+37a^2b^2+6b^4$ $a*(6a^2+b^2)(a^2+6b^2)$
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