X^2-x-20 how do I write that in factored form

(x - 5) (x + 4)

Step-by-step explanation:

When solving quadratic equations it's important to remember that they have 2 solution. We need to work out the factors, sum and the products to successfully factorise the quadratic and solve it. So,

x² - x - 20 = 0

Sum = - 1

Product = - 20

So we need two numbers that sum to - 1 and multiply together to make - 20

Factors = - 5 and 4

x² - 5x + 4x - 20

Factor x² - 5x and 4x - 20 separately

x² - 5x = x (x - 5)

4x - 20 = 4 (x - 5) So

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

We can see a common factor of (x - 5) and the other bracket would be (x + 4)

(x - 5) (x + 4)

(x+4) (x-5)

Step-by-step explanation:

You need to find two numbers that multiply to be - 20 but add up to be - 1.