Find the zeros at which f “flattens out”. Express the zeros as ordered pairs.

Question

F(x)= (x+3)^2(x-2)^3(x-1)

Answer 1

F(x) = (x + 3)²(x - 2)³(x - 1) = 0

We have 3 zeros: - 3 multiplicity 2 even number graiter than 12, so at x = -3 gaph flattens down and touching x- axis turn around;

x = 2 multiplicity 3 > 1 but odd number. Thyis means that at x = 2 graph flattens down but crossing x-axis.