Question

Identify the degree leading coefficient amd constant value of f(x) = 2x^5-8x^2 - x - 6

Answer 1

The polynomial function f(x) = 2x^5 - 8x^2 - x - 6 has a degree of 5, a leading coefficient of 2, and a constant value of -6.

Step-by-step explanation:

To identify the degree, leading coefficient, and constant value of the polynomial function f(x) = 2x^5 - 8x^2 - x - 6, we look at the highest power of x, the coefficient of the term with the highest power, and the term without a variable, respectively.

• The degree is the highest exponent of x in the polynomial; for this function, the degree is 5, as seen in the term 2x^5.
• The leading coefficient is the coefficient of the term with the highest power of x. In this case, the leading coefficient is 2.
• The constant value is the term in the polynomial that does not contain any variables. Here, the constant value is -6.