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Given the following polynomial, find;?
a. the zeros and the multiplicity of each
b. where the graph crosses or touches the x‐axis
c. number of turning points
d. end behavior
f(x)=(x+5)(x-3)(x+3)
please show your steps. I don't know how to start it. please help me!!
1 Answer
- Roger the MoleLv 79 years agoFavorite Answer
a. Use the zero product principle three times:
x+5 = 0
x = -5
x-3 = 0
x = 3
x+3 = 0
x = -3
So the three zeros are x=-5, x=3, and x=-3, each with a multiplicity of 1.
b. the graph crossed the x-axis at the three values of x given in the line above.
c. It's a cubic equation, so there are two turning points.
d. Looking at the graph, the function decreases monotonically at values of x less than about -4.1.
It increases monotonically at values of x greater than about 1.
