Been here for 6 hours and still didn't get anything:(

1. Consider the polynomial function.

f(x)= x^4 − 2x^3 + 11x^2 + 5x +6

Which statement correctly describes the number of possible positive zeros and the number of possible negative zeros?

a. The number of positive zeros is either 3 or 1. The number of negative zeros is either 2 or 0.

b. The number of positive zeros is either 2 or 0. The number of negative zeros is either 2 or 0.

c. The number of positive zeros is 1. The number of negative zeros is either 3 or 1.

d. The number of positive zeros is either 3 or 1. The number of negative zeros is 1.

2. Consider the polynomial function.

f(x)= x^3(x−2)^2(x+5)

Which statements correctly describes the behavior of the graph of the function at its zeros?

a. The graph of the function crosses through the x-axis at 0 and behaves in a cubic fashion. The graph of the function touches and bounces off of the x-axis at −5 and crosses straight through the x-axis at 2.

b. The graph of the function crosses through the x-axis at 2 and behaves in a cubic fashion. The graph of the function touches and bounces off of the x-axis at 0 and crosses straight through the x-axis at −5 .

c. The graph of the function crosses through the x-axis at 0 and behaves in a cubic fashion. The graph of the function touches and bounces off of the x-axis at 2 and crosses straight through the x-axis at −5

d. The graph of the function crosses through the x-axis at 0 and behaves in a cubic fashion. The graph of the function touches and bounces off of the x-axis at −2 and crosses straight through the x-axis at 5.

Guest Jan 17, 2020