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Check it outSolving Quadratic Equations by Factoring  Problem 14 409 views
When you have a polynomial equation in standard form, meaning the exponents are in decreasing order and it's equal to zero, you'll want to look for a greatest common factor. Once that is factored out, you'll set each factor equal to zero and solve for x. What if your GCF is just a number? What if it is a variable? These are commonly asked questions if the GCF if just a number, and we set that number equal to zero, it doesn't really make sense (like 4 = 0) and certainly doesn't help us solve for x. In that case, the GCF doesn't tell us a solution. BUT, if the GCF has x in it, and you set it equal to zero, chances are you'll get that x = 0 is a solution to your equation, which is very important. Here, the GCF does indeed represent a solution.
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Sample Problems (15)
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Solving Quadratic Equations by Factoring
Problem 1 12,588 viewsSolve by factoring:
x² + 4x = 0 
Solving Quadratic Equations by Factoring
Problem 2 9,878 viewsSolve by factoring:
x² + 2x = 15 
Solving Quadratic Equations by Factoring
Problem 3 9,133 viewsSolve by factoring:
x² + 6x + 9 = 0 
Solving Quadratic Equations by Factoring
Problem 4 8,821 viewsSolve by factoring:
3x² − 18x = 27 
Solving Quadratic Equations by Factoring
Problem 5 542 views 
Solving Quadratic Equations by Factoring
Problem 6 494 views 
Solving Quadratic Equations by Factoring
Problem 7 428 views 
Solving Quadratic Equations by Factoring
Problem 8 415 views 
Solving Quadratic Equations by Factoring
Problem 9 431 views 
Solving Quadratic Equations by Factoring
Problem 10 420 views 
Solving Quadratic Equations by Factoring
Problem 11 379 views 
Solving Quadratic Equations by Factoring
Problem 12 403 views 
Solving Quadratic Equations by Factoring
Problem 13 369 views 
Solving Quadratic Equations by Factoring
Problem 14 408 views 
Solving Quadratic Equations by Factoring
Problem 15 388 views
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