Question

Use this polynomial for 1-5:
`4 {x}^(3) 3{x}^(2) - 9x + 7` 1. Name the coefficients of the terms in the polynomial that have variables. 2. List the terms, and give the degree of each term. 3. What is the degree of the polynomial? 4. Identify the leading coefficient of the polynomial. 5. Identify the constant term of the polynomial.

Answer 1

Since we have the polynomial:

`4x^3+3x^2-9x+7`

1. The coefficients of the terms are 4, 3, -9 & 7.

2. There are 4 terms, and those are 4x^3, 3x^2, 9x & 7, and their degrees are 3, 2, 1, and 0 respectively.

3.The degree of the polynomial is 3.

4.The leading coefficient of the polynomial is 4.

5.The constant term of the polynomial is 7.