Question

Given the polynomial 6x^4+3x^3-7x^2+4x+5 choose all the following statements that are true?

A. The polynomial has a degree of 6

B. The polynomial has a leading coefficient of 4

C. The polynomial has 4 terms

D. The polynomial has a degree of 4

E. The polynomial has a leading coefficient of 6
​

Answer 1

D and E are true

Explanation:

The degree of a polynomial is the value of the largest exponent of the variable within the polynomial, that is the term

6
`x^(4)`

Thus the polynomial is of degree 4 → D

The leading coefficient is the coefficient of the variable with the largest exponent, that is

6
`x^(4)`

The leading coefficient is 6 → E