Pre calculus 12 grade

Question

Draw graph f(x)=(x+2)^3(1-x), find zeros and their multiplicity.

Answer 1

Roots: x = - 2 multiplicity 3 and x = 1 multiplicity 1

Answer 2

-2 is a zero with multiplicity 3

1 is a zero with multiplicity 1

use a graphing calculator to find the graph

y intercept (0,8) vertex about (1/4, 8.54)

x intercepts (-2,0) and (1,0)

it's similar to a downward opening parabola