Problem

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

Answer

Expert–verified
Hide Steps
Answer

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

Steps

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.

link_gpt

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More