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Solving Quadratic Equations by Factoring  Problem 12
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
We can use algebra techniques to solve geometry problems here we look at one problem about the area of a rectangle, and another about finding the side lengths of a right triangle. Areas often involve the product of two or more numbers, so if you're multiplying two or more x's, you're likely to need to use factoring. Make sure you get your equation rewritten in standard form (equal to zero) before you factor. Then use the zero product property to solve for x. If you get two answers, there's a good possibility that one of the answers will not make sense in geometry problem context (for example, you couldn't have an x answer that makes one of your side lengths negative.) If this happens, that answer is just not one of your solutions. For the Pythagorean Theorem, make sure you FOIL to square each side properly. Again, write it in standard form, solve using factoring and the zero product property, and make sure your final x answers make sense.
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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.
Sample Problems (22)
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Solving Quadratic Equations by Factoring
Problem 1 16,016 viewsSolve by factoring:
x² + 4x = 0 
Solving Quadratic Equations by Factoring
Problem 2 13,020 viewsSolve by factoring:
x² + 2x = 15 
Solving Quadratic Equations by Factoring
Problem 3 11,715 viewsSolve by factoring:
x² + 6x + 9 = 0 
Solving Quadratic Equations by Factoring
Problem 4 12,090 viewsSolve by factoring:
3x² − 18x = 27 
Solving Quadratic Equations by Factoring
Problem 5 2,156 views 
Solving Quadratic Equations by Factoring
Problem 6 2,155 views 
Solving Quadratic Equations by Factoring
Problem 7 1,869 views 
Solving Quadratic Equations by Factoring
Problem 8 1,799 views 
Solving Quadratic Equations by Factoring
Problem 9 1,794 views 
Solving Quadratic Equations by Factoring
Problem 10 1,828 views 
Solving Quadratic Equations by Factoring
Problem 11 1,653 views 
Solving Quadratic Equations by Factoring
Problem 12 1,834 views 
Solving Quadratic Equations by Factoring
Problem 13 1,662 views 
Solving Quadratic Equations by Factoring
Problem 14 1,934 views 
Solving Quadratic Equations by Factoring
Problem 15 1,648 views 
Solving Quadratic Equations by Factoring
Problem 16 1,014 views 
Solving Quadratic Equations by Factoring
Problem 17 1,004 views 
Solving Quadratic Equations by Factoring
Problem 18 890 views 
Solving Quadratic Equations by Factoring
Problem 19 1,014 views 
Solving Quadratic Equations by Factoring
Problem 20 940 views 
Solving Quadratic Equations by Factoring
Problem 21 979 views 
Solving Quadratic Equations by Factoring
Problem 22 994 views
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