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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q.362. (page 558)

Find the difference of $(z^{2} - 4 z - 12)$ and $(3 z^{2} + 2 z - 11)$ .

Short Answer

Expert verified

The solution is $- 2 z^{2} - 6 z - 1$ .

Step by step solution

01

Step 1. Given information.

The given polynomials are $(z^{2} - 4 z - 12)$ and $(3 z^{2} + 2 z - 11)$ .

02

Step 2. Simplify the expression.

Solve it as follows:
$(z^{2} - 4 z - 12) - (3 z^{2} + 2 z - 11) = z^{2} - 3 z^{2} - 4 z - 2 z - 12 + 11 (z^{2} - 4 z - 12) - (3 z^{2} + 2 z - 11) = - 2 z^{2} - 6 z - 1$

03

Step 3. Simplified answer.

Hence, the required polynomial is $- 2 z^{2} - 6 z - 1$ .

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