Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.5 - The Greatest Common Factor and Factoring by Grouping - Exercise Set - Page 296: 87

Answer

Without 1 in the factored form, the result does not equal that of the given polynomial.

Work Step by Step

$3x^{2}−9x+3$ factored is $3(x^{2}−x+1)$. Without $1$, we get $3x^{2}−9x$. $3(x^{2}−x)=3x^{2}−9x$ Because there is no $1$, we cannot distribute the $3$ to a third term, which leaves out an essential part of the polynomial.
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