Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function.
-$f ( x ) = 4 x ^ { 2 } - 5 x - 9$
A)$x = \frac { 4 } { 9 } , x=-1 $
B)$x = \frac { 4 } { 9 } , x=1 $
C)$x = \frac { 9 } { 4 } , x=-1 $
D) $x = \frac { 4 } { 9 } , x=0 $

Question

Quizplus · Accepted Answer

To find the zeros of the quadratic function $f(x) = 4x^2 - 5x - 9$, we can factor it or use the quadratic formula. Factoring this particular equation directly might not be straightforward due to its coefficients, so applying the quadratic formula, $x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$, where $a = 4$, $b = -5$, and $c = -9$, gives us the roots $x = \frac{9}{4}$ and $x = -1$.

Use Factoring to Find the Zeros of the Quadratic Function f(x)=4x2−5x−9f ( x ) = 4 x ^ { 2 } - 5 x - 9f(x)=4x2−5x−9

Use Factoring to Find the Zeros of the Quadratic Function $f ( x ) = 4 x ^ { 2 } - 5 x - 9$