Algebra: A Combined Approach (4th Edition)

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

Chapter 6 - Section 6.4 - Factoring Trinomials of the Form ax2+bx+c by Grouping - Exercise Set: 26

Answer

$(7x-2)(3x-1)$

Work Step by Step

$21x^{2}−13x+2$ First, identify two numbers that multiply with each other to become 42, the product of the constant and coefficient of x2 (21 × 2) and add together to become -13, the coefficient of x. From inspection, we identify these numbers as -6 and -7. Secondly split the coefficient of x into the sum of the two above numbers. $21x^{2}−13x+2$ $=21x^{2}+(-6-7)x+2$ $=21x^{2}-6x-7x+2$ Factorize by grouping to find the answer. $21x^{2}-6x-7x+2$ $=3x(7x-2)-(7x-2)$ $=(7x-2)(3x-1)$
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