Chapter 5: Q. 52 (page 498)

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

Short Answer

Expert verified

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

Step by step solution

Step 1. Given information

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

Step 2. Calculating the difference

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

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

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculating the difference

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In the following exercise, find the difference of the polynomials.Find the difference of z2−3z−18 andz2+5z−20

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculating the difference

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Decision Maths

Calculus

Statistics

Theoretical and Mathematical Physics

Pure Maths

Study anywhere. Anytime. Across all devices.

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