Question

Is it possible to factor `y= x^2 - 9x +14`? If so, what are the factors?

Answer 1

The factored form is `(x-7)(x-2)`.

Explanation:

We need to find two numbers that multiply to `14` and add up to `-9`.

After playing around with the factor pairs of `14`, you will find that these two numbers are `-7` and `-2`. Now, we can rewrite the polynomial:

`color(white)=x^2-9x+14`

`=(x-7)(x-2)`

This is the factored form. Hope this is the answer you were looking for!