Like what you saw?
Create FREE Account and:
 Watch all FREE content in 21 subjects(388 videos for 23 hours)
 FREE advice on how to get better grades at school from an expert
 Attend and watch FREE live webinar on useful topics
Review of the Methods of Factoring  Problem 3
Carl Horowitz
Carl Horowitz
University of Michigan
Runs his own tutoring company
Carl taught upperlevel math in several schools and currently runs his own tutoring company. He bets that no one can beat his love for intensive outdoor activities!
Factoring a trinomial without any common factors; so behind me I have a fairly, I would say ugly trinomial just because we have fairly big numbers that we’re dealing with 16, 24 and 9. They could be bigger, but they’re fairly big in this scheme of things and so what we want to do is factor this down.
And the first thing I look for in this case is to see if we’re dealing with perfect squares. I mean by that is 16x² is a perfect square and as is 9y². So the easiest thing for us to think about is, is this going to be a quantity squared? In order to get a 16x², you have to have 4x, and in order to get the 9y² we would need a 3y.
Your last term is positive which means that signs need to agree. Our middle term is negative which means we have to have a negative inside, and so this takes care of our outer two terms, but we need to double check to make sure this middle term is actually what we get when we FOIL this out.
Our FOIL out we’d end up with a 12 if we multiply this together, but we have our inner and our outers, so we have our two middle terms, we have these two and these two both of which are going to give us 12, two 12s is 24, so what we actually have here is a binomial squared.
The cool thing about factoring is that it’s always pretty easy to check to make sure you’re factored answer works and always FOIL it out and if you get the same thing you did it right. If you get something different something went wrong.
Please enter your name.
Are you sure you want to delete this comment?
Carl Horowitz
B.S. in Mathematics University of Michigan
He knows how to make difficult math concepts easy for everyone to understand. He speaks at a steady pace and his stepbystep explanations are easy to follow.
i love you you are the best, ive spent 3 hours trying to understand probability and this is making sense now finally”
BRIGHTSTORM IS A REVOLUTION !!!”
because of you i ve got a 100/100 in my test thanks”
Concept (1)
Sample Problems (5)
Need help with a problem?
Watch expert teachers solve similar problems.

Review of the Methods of Factoring
Problem 1 8,499 viewsFactor:
2x²(x + 1)² − 7x(x + 1)² + 6(x + 1)² 
Review of the Methods of Factoring
Problem 2 5,898 viewsFactor:
2ab² − 8b² − a + 4 
Review of the Methods of Factoring
Problem 3 5,080 viewsFactor:
16x² − 24xy + 9y² 
Review of the Methods of Factoring
Problem 4 4,711 viewsFactor:
8x³ − 27 
Review of the Methods of Factoring
Problem 5 4,416 viewsFactor:
10x² + 23xy − 5y²
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete