Which of the following is a zero of the equation ? f(x) = 4x^2 -49 / 2x + 7 a. -7/2 b. 7/2 c. 0 and explain why !

7/2

Step-by-step explanation:

In order to do this you have to recognize that

Then you can use the difference of squares formula:

In this case a=2x and b = 7 so the numerator is:

Notice that we have a 2x+7 up top and bottom of the fraction so these factors cancel out and we're left with:

Since we're looking for the zero, this means we're looking for the x -intercept.  Any x - intercept will have y = 0 hence why it's often called the "zero".  In this case f(x) is a more formal way of writing y so you can think of f(x)=y.

So if y=0 we have:

So:

(3x-8) or (3x+8)

step-by-step explanation: