Question

for this polynomial equation x³+2x²+4x+8=0 state the degree of the functionstate the leading coefficient draw a sketch of the graph showing real x interceptsstate how many real and imaginary x intercepts describe the graphs end behavior

Answer 1

Nathan, this is the solution to the first two questions about the polynomial equation:

a. The degree of the function is the largest exponent of its terms. Therefore, the degree of this equation is 3.

b. Let's recall that the leading coefficient of the polynomial is the coefficient of the leading term. And the leading term is the term with the highest degree.

Leading term is x ^3

In consequence, the leading coefficient is 1.