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Chapter 0: Problem 8

Find the degree of the polynomial. $$x^{2}-8 x^{3}+15 x^{4}+91$$

Short Answer

Expert verified
The degree of the polynomial is 4.

Step by step solution

01

Identify All Terms

The terms of the polynomial are \(x^2\), \(-8x^3\), \(15x^4\) and \(91\). The number without a variable is known as the constant term.
02

Identify the Highest Power

Each of these terms includes a power of \(x\), except for the constant term. The powers are \(2\), \(3\), and \(4\). Out of these, \(4\) is the highest power.
03

Determine the Degree

Thus, the degree of the polynomial is \(4\). The degree of a polynomial is always the same as the highest power in the polynomial.

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Most popular questions from this chapter

Use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. An elevator at a construction site has a maximum capacity of 2800 pounds. If the elevator operator weighs 265 pounds and each cement bag weighs 65 pounds, how many bags of cement can be safely lifted on the elevator in one trip?

Describe ways in which solving a linear inequality is similar to solving a linear equation.

Describe ways in which solving a linear inequality is different than solving a linear equation.

What is a rational expression?

Rationalize the numerator. $$\frac{\sqrt{x}-\sqrt{y}}{x^{2}-y^{2}}$$
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