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Check it outSolving Quadratic Equations by Factoring  Problem 14 432 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 12,634 viewsSolve by factoring:
x² + 4x = 0 
Solving Quadratic Equations by Factoring
Problem 2 9,920 viewsSolve by factoring:
x² + 2x = 15 
Solving Quadratic Equations by Factoring
Problem 3 9,187 viewsSolve by factoring:
x² + 6x + 9 = 0 
Solving Quadratic Equations by Factoring
Problem 4 8,861 viewsSolve by factoring:
3x² − 18x = 27 
Solving Quadratic Equations by Factoring
Problem 5 561 views 
Solving Quadratic Equations by Factoring
Problem 6 515 views 
Solving Quadratic Equations by Factoring
Problem 7 449 views 
Solving Quadratic Equations by Factoring
Problem 8 436 views 
Solving Quadratic Equations by Factoring
Problem 9 450 views 
Solving Quadratic Equations by Factoring
Problem 10 439 views 
Solving Quadratic Equations by Factoring
Problem 11 394 views 
Solving Quadratic Equations by Factoring
Problem 12 421 views 
Solving Quadratic Equations by Factoring
Problem 13 392 views 
Solving Quadratic Equations by Factoring
Problem 14 431 views 
Solving Quadratic Equations by Factoring
Problem 15 407 views
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