8. Analyzing Graphs of Polynomial Functions
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Use the Zero Product Property to find the zeros of the polynomial function.
B
Use the Zero Product Property
(I): LHS-1=RHS-1
(II): LHS+1=RHS+1
(III): LHS-2=RHS-2
To draw the graph of the function, we will find some additional points and consider the end behavior. Let's use a table to find additional points.
x | (x+1)(x-1)(x+2) | g(x)=(x+1)(x-1)(x+2) |
---|---|---|
- 3 | ( - 3+1)( - 3-1)( - 3+2) | - 8 |
- 1.5 | ( - 1.5+1)( - 1.5-1)( - 1.5+2) | 0.625 |
0 | ( 0+1)( 0-1)( 0+2) | - 2 |
0.5 | ( 0.5+1)( 0.5-1)( 0.5+2) | - 1.875 |