Question

If you have a quadratic equation in standard form and it has values of a=25, b = -36 and c = 0, what would the equation look like if you factored it out completely ?

Answer 1

The quadratic equation in standard form is:

ax^2 + bx + c = 25x^2 - 36x + 0

To factor this quadratic equation, we can first factor out the common factor of x:

25x^2 - 36x + 0 = x(25x - 36)

Now we can see that we have a quadratic expression inside the parentheses that can be factored further. To do so, we need to find two numbers whose product is 25 * (-36) = -900 and whose sum is -36. These numbers are -40 and 4:

25x^2 - 36x + 0 = x(25x - 36) = x(5x - 4)(5x - 32)

Therefore, the factored form of the quadratic equation is:

25x^2 - 36x + 0 = x(5x - 4)(5x - 32)