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Chapter 6: Q. 6 (page 696)

In the following exercises, determine the degree of each polynomial.

鈸�9y3鈭�10y2+2y鈭�6鈸�鈭�12p4鈸�a2+9a+18鈸�20x2y2鈭�10a2b2+30鈸�17

Short Answer

Expert verified

鈸�9y3鈭�10y2+2y鈭�6degreeis3.鈸�鈭�12p4degreeis4.鈸�a2+9a+18degreeis2.鈸�20x2y2鈭�10a2b2+30degreeis4.鈸�17degreeis0.

Step by step solution

01

Step 1. Give Information 

In the given exercises, we have to determine the degree of each polynomial.

鈸�9y3鈭�10y2+2y鈭�6鈸�鈭�12p4鈸�a2+9a+18鈸�20x2y2鈭�10a2b2+30鈸�17

02

Part (a) Step 1. The polynomial is 9y3−10y2+2y−6

The highest degree of all the terms is 3. So the degree is 3.

03

Part (b) Step 1. The polynomial is −12p4

The exponent of p is four. So the degree is 4.

04

Part (c) Step 1. The polynomial is a2+9a+18

The highest degree of all the terms is 2. So the degree is 2.

05

Part (d) Step 1. The polynomial is 20x2y2−10a2b2+30

The highest degree of all the terms is 4. So the degree is 4.

06

Part (e) Step 1. The polynomial is 17

The degree of a constant is 0. So the degree is 0.

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Most popular questions from this chapter

In the following exercises, convert each number to decimal form.

9.1脳10-7

Find the degree of the following polynomials:

鈸�鈭�15b鈸�10z4+4z2鈭�5鈸�12c5d4+9c3d9鈭�7鈸�3x2y鈭�4x鈸�鈭�9

Evaluate 4-36xwhen:

(a)x=3

(b)x=0

(c)x=-1

In the following exercises, simplify.

  1. 3-4
  2. 10-2
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