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Factoring Trinomials, a = 1  Concept
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
Multiplying rational expressions is basically two simplifying problems put together. When multiplying rationals, factor both numerators and denominators and identify equivalents of one to cancel. Dividing rational expressions is the same as multiplying with one additional step: we take the reciprocal of the second fraction and change the division to multiplication.
Factoring is one of the most important skills you're going to learn in your Algebra One course and it's going to show up through the rest of your Math career so it's really important you focus on these times in your school while you're learning how to factor. In these lessons we're going to be looking at how to factor when it looks like x squared plus bx+c. Sometimes this is written with an a right there and we're talking about when a=1.
When a=1, there's a couple of steps you want to do but first I want to show you an example. You're going to be given a problem like this and asked to write it in it's factored form. You're going to be given a trinomial and asked to write it like this. You already know how to do that the other way around, if you're given this, you could FOIL or use an area model to find out this. Let me show you a couple of things to notice. The first thing I want you to notice is that this number right here is the sum of my two constants 3+4 gave me 7. Also look 12, this number here, is the product of my two constants that is super important that pattern is how you solve these problems.
The first thing you're going to do when you're given a trinomial where a is 1 there it is right there that's the one [IB] and you're asked to write it in factored form, first thing you're going to do is look for two numbers whose sum is the middle term which is b, there it is, we want sum to be that and whose product is the constant term. We want our two numbers to multiply to that guy, keep in mind you might have positive and negative numbers that's going to show up later on when you have a negative value right there. Once you have those two numbers write them as factors and FOIL to check your work you're going to see this over and over and over in your Math classes and again it's really important that you remember that the middle term represents the sum and the last term represents the product. If you forget that give yourself a little practice problem on the side of your paper or something write down the product of two binomials, use your foiling and you could figure this out on your own without having to memorize it.
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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”
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Sample Problems (11)
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Factoring Trinomials, a = 1
Problem 1 13,337 viewsFactor:
x² + 12x + 20 
Factoring Trinomials, a = 1
Problem 2 9,007 viewsFactor:
p² + 3p − 10 
Factoring Trinomials, a = 1
Problem 3 8,058 viewsFactor:
m² − 7m + 10 
Factoring Trinomials, a = 1
Problem 4 7,148 viewsFactor:
x² + 9x − 20 
Factoring Trinomials, a = 1
Problem 5 1,016 views 
Factoring Trinomials, a = 1
Problem 6 756 views 
Factoring Trinomials, a = 1
Problem 7 744 views 
Factoring Trinomials, a = 1
Problem 8 722 views 
Factoring Trinomials, a = 1
Problem 9 1,039 views 
Factoring Trinomials, a = 1
Problem 10 649 views 
Factoring Trinomials, a = 1
Problem 11 784 views
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