Determine the x-intercept(s)of the quadratic function $f ( x ) = x ^ { 2 } + 8 x + 12$ .
A) $( 2,0 ) , ( 6,0 )$
B) $( 6,0 ) , ( 5,0 )$
C) $( - 2,0 ) , ( - 6,0 )$
D) $( - 6,0 ) , ( - 5,0 )$
E)no x-intercept(s)

Question

Quizplus · Accepted Answer

To find the x-intercepts, set $f(x) = 0$: $x^2 + 8x + 12 = 0$. Factoring gives $(x + 2)(x + 6) = 0$, leading to $x = -2$ and $x = -6$, so the x-intercepts are $(-2, 0)$ and $(-6, 0)$.

Determine the X-Intercept(s)of the Quadratic Function f(x)=x2+8x+12f ( x ) = x ^ { 2 } + 8 x + 12f(x)=x2+8x+12

Determine the X-Intercept(s)of the Quadratic Function $f ( x ) = x ^ { 2 } + 8 x + 12$