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Factoring Trinomials, a = 1  Problem 2
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 I’m given a trinomial with the leading coefficient as one. But I have something that’s’ a little tricky here I have a minus sign so when I’m asked to factor this, this tells me the product of two numbers gives me the answer 10. If you have 2 numbers and the answer is negative that means one of your numbers has to be a negative value. I’m going to keep that in mind while I’m looking for things that multiply to 10 and add up to +3. So numbers that multiply to 10 might be a pair of 1 and 10 or 2 and 5 and that’s it, those are the only pairs. So it’s going to be some combination of these with some pluses and minuses. One has to be negative; one has to be positive so that when I add them up the answer is positive three. A lot of you guys can do that pretty quickly.
Notice that if I were to use +5 and 2 the product would be 10 and the sum would be +3. So there’s my factors, p minus 2 and p plus 5. That’s the factored form of this trinomial. Check your work by foiling just to make sure firsts, outers, inners, lasts combine this and you’ll see that we did do it correctly. We have 3p as the middle term there and we know we did it right.
So what I want to leave you with is if you see a negative signs before your c term that means one of your numbers that go into the factors is going to be negative the other one’s going to be positive. So you want to keep that in mind when you’re looking for your factor pairs for the c term.
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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.
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Sample Problems (11)
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Factoring Trinomials, a = 1
Problem 1 14,175 viewsFactor:
x² + 12x + 20 
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Problem 2 9,813 viewsFactor:
p² + 3p − 10 
Factoring Trinomials, a = 1
Problem 3 8,576 viewsFactor:
m² − 7m + 10 
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Problem 4 7,645 viewsFactor:
x² + 9x − 20 
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Problem 5 1,421 views 
Factoring Trinomials, a = 1
Problem 6 1,078 views 
Factoring Trinomials, a = 1
Problem 7 1,067 views 
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Problem 8 1,027 views 
Factoring Trinomials, a = 1
Problem 9 1,453 views 
Factoring Trinomials, a = 1
Problem 10 952 views 
Factoring Trinomials, a = 1
Problem 11 1,209 views
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