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Chapter 5: Q. 505 (page 564)

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

(b) What is its degree?

4x-32

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 is4x-32

02

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

  • Simplify the given expression as follows:

4x-32=4x2+-32-24x3=16x2+9-24x

  • As the polynomial has 3 terms, 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 16x2
  • The exponent of this term is 2.
  • So the degree of the trinomial is 2.

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