Determine the $x$-intercept(s) of the quadratic function $f ( x ) = x ^ { 2 } - 15 x + 56$.
A) $( 8,0 ) , ( 7,0 )$
B) $( - 4,0 ) , ( - 8,0 )$
C) $( - 8,0 ) , ( - 7,0 )$
D) $( 4,0 ) , ( 8,0 )$
E) no $x$-intercept(s)

Question

Quizplus · Accepted Answer

To find the $x$-intercepts of the quadratic function, we set $f(x) = 0$ and solve for $x$. Thus, $x^2 - 15x + 56 = 0$. Factoring the quadratic equation gives $(x - 8)(x - 7) = 0$, which has solutions $x = 8$ and $x = 7$. Therefore, the $x$-intercepts are $(8, 0)$ and $(7, 0)$.

Determine The xxx -Intercept(s) of the Quadratic Function f(x)=x2−15x+56f ( x ) = x ^ { 2 } - 15 x + 56f(x)=x2−15x+56

Determine The $x$ -Intercept(s) of the Quadratic Function $f ( x ) = x ^ { 2 } - 15 x + 56$