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Find the X-Intercepts of the Polynomial Function f(x)=x2(x2)(x6)f ( x ) = x ^ { 2 } ( x - 2 ) ( x - 6 )

Question 10

Multiple Choice

Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept.
- f(x) =x2(x2) (x6) f ( x ) = x ^ { 2 } ( x - 2 ) ( x - 6 )


A) 0 , touches the xx -axis and turns around;
2 , crosses the xx -axis;
6, crosses the xx -axis
B) 0 , touches the xx -axis and turns around;
2- 2 , crosses the xx -axis;
6- 6 , crosses the xx -axis
C) 0 , crosses the xx -axis;
2 , crosses the xx -axis;
6 , crosses the xx -axis
D) 0 , crosses the xx -axis;
2 , touches the xx -axis and turns around;
6 , touches the xx -axis and turns around

Correct Answer:

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