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

1 Answer
Mar 14, 2018

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!