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Factoring Trinomials, a is not 1  Problem 3
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
In this trinomial I’m asked to factor and my leading coefficient not only is it not 1 but it’s a negative number. For a lot of students it freaks them out but don't worry, you’ll still use the same process where my first two terms need to multiply to 3.
I'm just going to guess that the negative might attach to the 3 it also might be that I have positive 3x and –x. I don't know this is a guess and check type of problem. Let me start here see if I can find something where my leading terms broke down to 3x and x now I need things that will multiply to 10.
I'm thinking some combination of 5 and 2, 5 and sorry 2 because I need them to have a negative product. Let's see how I did let's check by foiling I have 3x squared outers I’ll have 15x inners minus 2x. Oh! Good you guys look there it is there's that 17x take away 10, sweet! That means I did it correctly. I was lucky on that one I got it right on the first trial.
Sometimes it happens sometimes it doesn't but again you guys these are just guess and check type of problems, figure out things whose product is this figure out things whose product is that and then look for combinations. You are going to have to rearrange and adjust the positive and negative signs so that when you FOIL your middle term is correct.
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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 is not 1
Problem 1 11,446 viewsFactor:
3x² − 2x − 8 
Factoring Trinomials, a is not 1
Problem 2 7,688 viewsFactor:
6x² + 17x + 5 
Factoring Trinomials, a is not 1
Problem 3 6,489 viewsFactor:
3x² − 17x − 10 
Factoring Trinomials, a is not 1
Problem 4 6,901 viewsFactor:
20x² + 80x + 35 
Factoring Trinomials, a is not 1
Problem 5 1,293 views 
Factoring Trinomials, a is not 1
Problem 6 1,148 views 
Factoring Trinomials, a is not 1
Problem 7 1,162 views 
Factoring Trinomials, a is not 1
Problem 8 1,061 views 
Factoring Trinomials, a is not 1
Problem 9 1,173 views 
Factoring Trinomials, a is not 1
Problem 10 1,166 views 
Factoring Trinomials, a is not 1
Problem 11 1,176 views
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