Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function.
-$$y ( x ) = x ^ { 2 } - 5 x - 14$$
A) x = 2, x = -7
B) x = 2, x = 7
C) x = - 2, x = 7
D) x = -14, x = 0

Question

Quizplus · Accepted Answer

To factor the quadratic $x^2 - 5x - 14$, we look for two numbers that multiply to -14 and add to -5. These numbers are -7 and 2. Thus, the factorization is $(x - 7)(x + 2)$. Setting each factor to zero gives the solutions $x = 7$ and $x = -2$.

Use Factoring to Find the Zeros of the Quadratic Function y(x)=x2−5x−14y ( x ) = x ^ { 2 } - 5 x - 14y(x)=x2−5x−14

Use Factoring to Find the Zeros of the Quadratic Function $y ( x ) = x ^ { 2 } - 5 x - 14$