Question

1. Consider the polynomial –4x + 7x^3 – 5x^2 + 10.

A. What is the degree of the polynomial? Explain.
B. How many terms are in the polynomial? Explain.
C. What expression represents the polynomial written in standard form? Explain.

Answer 1

Explanation:

A

3 It's the highest power on any of the x values. 7x^3 contain's the highest power of 3.

B

The are 4 terms. Nothing can be combined with anything else because the powers are all different.

C

Just put the polynomial in order from highest power to lowest

7x^3 - 5x^2 - 4x + 10

The highest power is 3 and the lowest one is x^0 on the 10.