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:
And we have that the leading term is 4. Then, the quadratic equation is:
If we expand this result, we have:
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:
If we expand the expression, we have:
