Question

Help me answer this. I don't have much time so please hurry

Answer 1

To answer this question we have that the two roots of the equations are:

x = 5 ---> (5, 0)

x = -5 ---> (-5, 0)

If we factor them, we can write the quadratic expression as follows:

`(x-5)(x+5)`

And we have that the leading term is 4. Then, the quadratic equation is:

`4(x-5)(x+5)`

If we expand this result, we have:

`4(x^2-5^2)=4(x^2-25)=4x^2-4\cdot25=4x^2-100`

Then, the expanded quadratic expression is 4x²-100.

We can graph the result as follows (notice the values for each root):

In summary, we have that the quadratic equation whose roots are 5, and -5, and whose leading coefficient is 4, is as follows:

`4(x-5)(x+5)`

If we expand the expression, we have:

`4x^2-100`