How do you simplify #\frac { x ^ { 2} - 3x - 28} { x - 7}#?

1 Answer
smendyka
Dec 10, 2016

#x + 4#

Explanation:

Step 1) Factor the quadratic equation in the numerator by playing with factors of 28, (May want to try #-7 xx +4# seeing as how the denominator has a factor of #-7# in it):

#((x - 7)(x + 4))/(x - 7)#

We can now cancel like terms in the numerator and denominator to get our final simplification:

#(cancel((x - 7))(x + 4))/cancel((x - 7))#

#x + 4#

Related questions
Impact of this question
483 views around the world
You can reuse this answer
Creative Commons License