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Chapter 5: Q. 504 (page 564)

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

(b) What is its degree?

n-8n2-4n+11

Short Answer

Expert verified

The given polynomial is not a monomial, binomial, or trinomial and its degree is 3.

Step by step solution

01

Step 1. Given Information

The given polynomial isn-8n2-4n+11.

02

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

  • Simplify the given expression as follows:

n-8n2-4n+11=n3-4n2+11n-8n2+32n-88=n3-12n2+43n-88

  • As the polynomial has four terms, it is not a monomial, binomial, or trinomial.
03

Part (b) Step 1. Find the Highest Power 

  • The term with highest power of the variable in the simplified polynomial is n3
  • The exponent of this term is 3.
  • So the degree of the trinomial is 3.

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