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Chapter 0: Problem 5

Find the degree of the polynomial. $$3 x^{2}-5 x+4$$

Short Answer

Expert verified
The degree of the polynomial \(3x^2 - 5x + 4\) is 2.

Step by step solution

01

Identify the terms of the polynomial

The polynomial is made up of three terms: \(3x^2\), \(-5x\), and \(4\).
02

Identify the powers of the variable in each term

In the first term, \(3x^2\), the power of \(x\) is 2. In the second term, \(-5x\), the power of \(x\) is 1. The third term, \(4\), is a constant and contains no variable.
03

Find the highest power

Of the identified powers, 2 is the highest. Therefore, the degree of the polynomial is 2.

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