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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 7: Q. 383 (page 898)

In the following exercises, factor each trinomial of the form $x^{2} + b x + c$ .
role="math" localid="1647768430144" $s^{2} - 2 s - 8$

Short Answer

Expert verified

The factors are $(s - 4) (s + 2)$

Step by step solution

01

Step 1. Given information

The given trinomial is $s^{2} - 2 s - 8$

02

Step 2. Factor the trinomial

So factorisation is as follows:

s^{2} - 2 s - 8 = s^{2} - 4 s + 2 s - 8 = s (s - 4) + 2 (s - 4) = (s - 4) (s + 2)

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Solve: $123 b = - 6 - 60 b^{2}$

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