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
Solving Quadratic Equations by Factoring  Problem 1
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
Here's a problem that I want to solve by factoring. So even if I don't know what solve means I know I’m going to have to start this problem by factoring. Since both of these terms have an x I’m going to factor out the greatest common factor which is x, it’s going to start looking like this. Like undistributing. X times what gives me x squared? And then I need x times what gives me 4x here we go so that's my factored form of that binomial.
Next thing I’m going to do in order to solve, solve means find what x values make the statement true. So what I’m going to do in order to do that is use this 0 product property that tells me that if the product of two things is equal to 0 then either of that first guys is equal to 0 or the second guy is equal to 0.
That's already going to be one of my solutions if x is 0 that should be equal to 0.My other solution is going to be 4. Because if I plug in 4 here and I do out the math I should get 0. I'm going to check just a little really quickly just to make sure.
The way to check is by substituting the x value to this original problem. Is it true that 0 squared plus 4 times 0 is 0? Yeah 0 plus 0 equals 0. Is it true that 4times itself plus 4 times 4 is equal to 0? It’s kind of messy plus 4 times 4 is it true that 16 take away 16 equals 0? Yeah that's right.
That's how I know I have my two correct solutions. So when you’re asked to solve something by factoring factor out your binomial trinomial looking for greatest common factor or by using factoring techniques then set each one equal to 0. And lastly be sure to check your work because there's no reason why you want to get these problems wrong because they are not too difficult.
Please enter your name.
Are you sure you want to delete this comment?
Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
You seem so kind, it's awesome. Easier to learn from people who seem to be rooting for ya!' thanks”
Get Peer Support on User Forum
Peer helping is a great way to learn. Join your peers to ask & answer questions and share ideas.
Sample Problems (22)
Need help with a problem?
Watch expert teachers solve similar problems.

Solving Quadratic Equations by Factoring
Problem 1 14,332 viewsSolve by factoring:
x² + 4x = 0 
Solving Quadratic Equations by Factoring
Problem 2 11,607 viewsSolve by factoring:
x² + 2x = 15 
Solving Quadratic Equations by Factoring
Problem 3 10,550 viewsSolve by factoring:
x² + 6x + 9 = 0 
Solving Quadratic Equations by Factoring
Problem 4 10,442 viewsSolve by factoring:
3x² − 18x = 27 
Solving Quadratic Equations by Factoring
Problem 5 1,339 views 
Solving Quadratic Equations by Factoring
Problem 6 1,327 views 
Solving Quadratic Equations by Factoring
Problem 7 1,161 views 
Solving Quadratic Equations by Factoring
Problem 8 1,156 views 
Solving Quadratic Equations by Factoring
Problem 9 1,112 views 
Solving Quadratic Equations by Factoring
Problem 10 1,168 views 
Solving Quadratic Equations by Factoring
Problem 11 1,060 views 
Solving Quadratic Equations by Factoring
Problem 12 1,055 views 
Solving Quadratic Equations by Factoring
Problem 13 1,057 views 
Solving Quadratic Equations by Factoring
Problem 14 1,172 views 
Solving Quadratic Equations by Factoring
Problem 15 993 views 
Solving Quadratic Equations by Factoring
Problem 16 385 views 
Solving Quadratic Equations by Factoring
Problem 17 421 views 
Solving Quadratic Equations by Factoring
Problem 18 361 views 
Solving Quadratic Equations by Factoring
Problem 19 401 views 
Solving Quadratic Equations by Factoring
Problem 20 390 views 
Solving Quadratic Equations by Factoring
Problem 21 377 views 
Solving Quadratic Equations by Factoring
Problem 22 300 views
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete