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Chapter 5: Q. 502 (page 564)

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

(b) What is its degree?

4uu2-9u+1

Short Answer

Expert verified

The given polynomial is a trinomial of degree 3.

Step by step solution

01

Step 1. Given Information

The given polynomial is4uu2-9u+1.

02

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

  • Simplify the given polynomial as follows:

4uu2-9u+1=4u脳u2-4u脳9u+4u=4u3-36u2+4u

  • 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 4u3.
  • The exponent of this term is 3.
  • So the degree of the trinomial is 3

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