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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. 52 (page 498)

In the following exercise, find the difference of the polynomials.
Find the difference of $(z^{2} 鈭� 3 z 鈭� 18)$ and $(z^{2} + 5 z 鈭� 20)$

Short Answer

Expert verified

$Thedifferenceof (z^{2} 鈭� 3 z 鈭� 18) and (z^{2} + 5 z 鈭� 20) is 鈭� 8 z + 2.$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenexpressionsare \\ (z^{2} 鈭� 3 z 鈭� 18) and (z^{2} + 5 z 鈭� 20) \\ Wehavetofindthedifference \\ i . e Tofind: (z^{2} 鈭� 3 z 鈭� 18) 鈭� (z^{2} + 5 z 鈭� 20) \end{array}$

02

Step 2. Calculating the difference

$\begin{array}{l} 鈬� (z^{2} 鈭� 3 z 鈭� 18) 鈭� (z^{2} + 5 z 鈭� 20) \\ = z^{2} 鈭� 3 z 鈭� 18 鈭� z^{2} 鈭� 5 z + 20 [Rewritewithoutparentheses] \\ = z^{2} 鈭� z^{2} 鈭� 3 z 鈭� 5 z 鈭� 18 + 20 [Combinetheliketerms] \\ = 鈭� 8 z + 2 [Simplify] \end{array}$

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