4

Set 4: Polynomial Functions (Beginner)

Explanation

Answer: D

PROBLEM

What is the degree of the polynomial: 5x to the power of 5 + 4x to the power of 4 + 4x to the power of 3 + 1x to the power of 2 + 1x + 3?

What is the degree of the polynomial: 5x to the power of 5 + 4x to the power of 4 + 4x to the power of 3 + 1x to the power of 2 + 1x + 3?

A.

3

B.

6

C.

10

D.

5

✓ Correct

Detailed Explanation

Choice D is the best answer. The highest power of x is 5, so the degree is 5.

Why others are wrong:
A: 3 is incorrect because it does not satisfy the equation.
B: 6 is incorrect because it does not satisfy the equation.
C: 10 is incorrect because it does not satisfy the equation.