Question

Write a quadratic equation that has two solutions,6 and -1. Leave the polynomial in the equation infactored form.

Answer 1

Hello!

The exercise asks for a quadratic equation with solutions 6 and -1.

To obtain it, we can write it as a product of two polynomials.

We will write X and the root with the inverse sign, as the formula below:

(x - 6) * (x - -1) = 0

So, we will have:

`(x-6)\cdot(x+1)=0`

This is the factored form.

If you want the quadratic equation, you also can solve it by distributive property:

`x^2-5x-6=0`

Answer:

(x -6) * (x +1) = 0