Problem

What is the degree of the polynomial \(3x^4 - 2x^3 + x^2 - 5x + 7\)?

Solution

Step 1 :In a polynomial, the degree is determined by the highest power of the variable. In this case, we need to identify the term with the highest power of \(x\).

Step 2 :The terms of the polynomial are \(3x^4\), \(-2x^3\), \(x^2\), \(-5x\), and \(7\). Among these, \(3x^4\) has the highest power of \(x\), which is 4.

Step 3 :Therefore, the degree of the polynomial \(3x^4 - 2x^3 + x^2 - 5x + 7\) is 4.

From Solvely APP
Source: https://solvelyapp.com/problems/A5Jk8t6c4v/

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