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 - Practice - Page 434: 6

Answer

a) $(3x+2)(x+5)$ b) $3x(2y-1)(y+6)$

Work Step by Step

a) $3x^3+17x^2+10x$ $x*(3x^2+17x+10)$ Factors of 10: 1 and 10, -1 and -10, 2 and 5, -2 and -5 $(3x+1)(x+10)$ $3x*x+3x*10+1*x+10$ $3x^2+30x+x+10$ $3x^2+31x+10$ (wrong middle term) $(3x+2)(x+5)$ $3x*x+3x*5+2*x+2*5$ $3x^2+15x+2x+10$ $3x^2+17x+10$ b) $6xy^2+33xy-18x$ $3x*(2y^2+11y-6)$ Factors of 6: 1 and -6, 2 and -3, -1 and 6, -2 and 3 $2y^2+11y-6$ $(2y+1)(y-6)$ $2y*y+2y*-6+1*y+1*-6$ $2y^2-12y+y-6$ $2y^2-11y-6$ (right number, wrong sign for middle term) $2y^2+11y-6$ $(2y-1)(y+6)$ $2y*y+2y*6+(-1)*y+6*-1$ $2y^2+12y-y-6$ $2y^2+11y-6$ $3x(2y-1)(y+6)$
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