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Chapter 5: Q. 506 (page 564)

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

(b) What is its degree?

5x+2y5x-2y

Short Answer

Expert verified

The given polynomial is a binomial of degree 2.

Step by step solution

01

Step 1. Given Information

The given polynomial is5x+2y5x-2y.

02

Part (a) Step 1. Count the Terms in Simplified Polynomial  

  • Simplify the given expression as follows:

5x+2y5x-2y=5x2-2y2=25x2-4y2

  • As the polynomial has 2 terms, it is a binomial.
03

Part (b) Step 1. Find the Highest Power 

  • Both the terms in the simplified expression have the power 2.
  • SO, the degree of the binomial is 2.

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