8. Analyzing Graphs of Polynomial Functions
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Use the Zero Product Property to find the zeros of the polynomial function.
We want to graph the given polynomial function. f(x)=(x-4)(2x^2-2x+1) Let's start by finding the zeros of the function.
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-4)(2x^2-2x+1) | f(x)=(x-4)(2x^2-2x+1) |
---|---|---|
0 | ( 0-4)(2( 0)^2-2( 0)+1) | -4 |
1 | ( 1-4)(2( 1)^2-2( 1)+1) | -3 |
2 | ( 2-4)(2( 2)^2-2( 2)+1) | -10 |
3 | ( 3-4)(2( 3)^2-2( 3)+1) | -13 |
Distribute (x-4)
Distribute 2x^2
Distribute - 2x
Distribute 1
Add and subtract terms