Question

For the fiction f(x)=x^2+3x-28 solve the following f(x) = 0

Answer 1

`x=4\\\\x=-7`

Explanation:

First, we need to set up the equation

`x^2+3x-28=0`

To solve this, we have two options: factoring or using the quadratic formula. In this case, factoring will work, so we can use that

To factor, we need to find two numbers that add together to give you 3 and multiply to give you -28

In this case, these two numbers would nee to be -4 and 7

This means that our factored equation would be:

`(x-4)(x+7)=0`

Now all we need to do is input the values of x that will give you 0. This means that the two solutions are

`x=4\\\\x=-7`