Factor to find all x-intercepts of the function. f(x)=8x^3-14x^2 Answer Attemptiout of 2

To find the x-intercepts of the function $f(x)=8x^{3}-14x^{2}$, we need to set the function equal to zero and solve for x.<br /><br />Step 1: Set the function equal to zero.<br />$8x^{3}-14x^{2} = 0$<br /><br />Step 2: Factor out the common factor.<br />$2x^{2}(4x-7) = 0$<br /><br />Step 3: Set each factor equal to zero and solve for x.<br />$2x^{2} = 0$ or $4x-7 = 0$<br /><br />Step 4: Solve for x in each equation.<br />$x = 0$ or $x = \frac{7}{4}$<br /><br />Therefore, the x-intercepts of the function are $x = 0$ and $x = \frac{7}{4}$.