Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function.
-$$h ( x ) = 2 x ^ { 2 } - 6 x$$
A) x = 0
B) x = 0, x = 3
C) x = 2, x = 3
D) x = 3

Question

Quizplus · Accepted Answer

To find the zeros of the function, we set $h(x) = 0$: $2x^2 - 6x = 0$. Factoring out the greatest common factor, $2x$, gives $2x(x - 3) = 0$. Setting each factor equal to zero gives the solutions $x = 0$ and $x = 3$, which are the x-intercepts of the graph.

Use Factoring to Find the Zeros of the Quadratic Function h(x)=2x2−6xh ( x ) = 2 x ^ { 2 } - 6 xh(x)=2x2−6x

Use Factoring to Find the Zeros of the Quadratic Function $h ( x ) = 2 x ^ { 2 } - 6 x$