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Factoring Trinomials, a is not 1  Problem 6
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
Most people factor trinomials using guess and check, but this can be tedious. Here we'll explore a method that will always work: creating a diamond problem, using the sides of the diamond to rewrite the middle term as two terms, and then factoring by grouping. The diamond is set up with the product of the first and third terms on the top, and the middle term on the bottom. Find two integers that multiple to the top and add to the bottom. Use those two numbers to split the "b" term of the original trinomial and then use factoring by grouping. This method takes some practice, but is often less frustrating, especially when the "a" value is not one.
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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 11,236 viewsFactor:
3x² − 2x − 8 
Factoring Trinomials, a is not 1
Problem 2 7,477 viewsFactor:
6x² + 17x + 5 
Factoring Trinomials, a is not 1
Problem 3 6,348 viewsFactor:
3x² − 17x − 10 
Factoring Trinomials, a is not 1
Problem 4 6,696 viewsFactor:
20x² + 80x + 35 
Factoring Trinomials, a is not 1
Problem 5 1,146 views 
Factoring Trinomials, a is not 1
Problem 6 1,034 views 
Factoring Trinomials, a is not 1
Problem 7 1,030 views 
Factoring Trinomials, a is not 1
Problem 8 962 views 
Factoring Trinomials, a is not 1
Problem 9 1,062 views 
Factoring Trinomials, a is not 1
Problem 10 1,049 views 
Factoring Trinomials, a is not 1
Problem 11 1,066 views
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