Select the graph of the function and determine the zeros of the polynomial. $$f ( x ) = x ^ { 3 } - 4 x ^ { 2 }$$
A) 0,4
B)0,4
C)4,-4
D)$0 , - 4$
E)0,-4

Question

Select the graph of the function and determine the zeros of the polynomial. $$f ( x ) = x ^ { 3 } - 4 x ^ { 2 }$$ 
A) 0,4 
B)0,4 
C)4,-4 
D)$0 , - 4$ 
E)0,-4

Quizplus · Accepted Answer

The graph in option B is the correct one. To find the zeros of the polynomial, we set $f(x)$ equal to zero and solve for $x$: $$x^3-4x^2=0$$ $$x^2(x-4)=0$$ This gives us $x=0$ and $x=4$ as the zeros of the polynomial. Therefore, option B is the correct choice as it shows the graph passing through the points $(0,0)$ and $(4,0)$.

Select the Graph of the Function and Determine the Zeros f(x)=x3−4x2f ( x ) = x ^ { 3 } - 4 x ^ { 2 }f(x)=x3−4x2

Select the Graph of the Function and Determine the Zeros $f ( x ) = x ^ { 3 } - 4 x ^ { 2 }$