Find the x-intercepts.
-$$f ( x ) = 2 x + x ( x - 7 )$$
A) $( 0,0 )$ and $( - 5,0 )$
B) $( 0,0 )$ and $( 5,0 )$
C) $( 5,0 )$
D) $( - 5,0 )$

Question

Quizplus · Accepted Answer

To find the x-intercepts, set $f(x) = 0$. Simplifying the given function: $f(x) = 2x + x(x - 7) = 2x + x^2 - 7x = x^2 - 5x$. Factoring out $x$, we get $x(x - 5) = 0$. Setting each factor equal to zero gives $x = 0$ and $x = 5$, so the x-intercepts are $(0,0)$ and $(5,0)$.

Find the X-Intercepts f(x)=2x+x(x−7)f ( x ) = 2 x + x ( x - 7 )f(x)=2x+x(x−7)

Find the X-Intercepts $f ( x ) = 2 x + x ( x - 7 )$