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Chapter 5: Q. 501 (page 564)

(a) Is it a monomial, binomial, or trinomial?

(b) What is its degree?

8xy3-6x4y6

Short Answer

Expert verified

The given polynomial is a monomial of degree 14.

Step by step solution

01

Step 1. Given Information

The given polynomial is8xy3-6x4y6.

02

Par (a) Step 1. Count the Number of Terms

  • Simplify the polynomial as follows:

8xy3-6x4y6=-48x1+4y3+6=-48x5y9

  • As the number of terms in the polynomial is 1, it is a monomial.
03

Part (b) Step 1. Determine the Highest Power  

  • The highest power of the term will be the sum of powers of all the present variables.
  • Add 5 and 9 to find the highest power of the term.

5+9=14

  • So, the degree of the monomial is 14.

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