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Chapter 5: Q. 503 (page 546)

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

(b) What is its degree?

m+37m-2

Short Answer

Expert verified

The given polynomial is a trinomial of degree 2.

Step by step solution

01

Step 1. Given Information

The given polynomial ism+37m-2.

02

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

  • Simplify the given expression as follows:

m+37m-2=m脳7m-m脳2+3脳7m-3脳2=7m2-2m+21m-6=7m2+19m-6

  • As the polynomial has three terms, so it is a trinomial.
03

Part (b) Step 1. Find the Highest Power

  • The term with highest power of the variable in the simplified polynomial is 7m2
  • The exponent of this term is 2.
  • So the degree of the trinomial is 2.

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