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Chapter 6: Q. 6.3 (page 688)

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

Short Answer

Expert verified

鈸�鈭�15bdegreeis1.鈸�10z4+4z2鈭�5degreeis4.鈸�12c5d4+9c3d9鈭�7degreeis12.鈸�3x2y鈭�4xdegreeis3.鈸�鈭�9degreeis0.

Step by step solution

01

Step 1. Give Information 

We have to 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

02

Part (a) Step 1. The polynomial is −15b

The exponent of b is one. So the degree is 1.

03

Part (b) Step 1. The polynomial is 10z4+4z2−5

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

04

Part (c) Step 1. The polynomial is 12c5d4+9c3d9−7

The highest degree of all the terms is 12. So the degree is 12.

05

Part (d) Step 1. The polynomial is  3x2y−4x

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

06

Part (e) Step 1. The polynomial is -9

The degree of a constant is 0. So the degree is0.

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Most popular questions from this chapter

In the following exercises, simplify.

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

9.1脳10-7
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