Question

Select the correct texts in the passage,Julian factored the expression 224 +223 - 22 - 1. His work is shown.At which step did Julian make his first mistake, and which statement describes the mistakerIStep 1224 +223 22= (2:13 + 2x2 - 1 - 1)(232(0 + 1) - 1(– 1)2 (212 1)(x + 1)(x - 1)Step 2Step 3Julian should have factored (2x2 - 1) as a difference of squares,Julian incorrectly factored -1 from the second group of terms.Julian should have factored 2x from all terms instead of x.Julian incorrectly factored 2x2 from the first group of terms.O 2021 Edmentum. All rights reserved.

Answer 1

Julian factored incorrectly the -1 from the second group of terms.

The correct way is:

$\begin{gathered} 2x^4+2x^3-x^2-x \\ =x(2x^3+2x^2-x-1) \\ =x(2x^2(x+1)-1(x+1)) \end{gathered}$