The zero product property is a method to solve equations that have squared
variables in them. |
| ex. x2+6x+5=0 |
What we will do is break down the equation into simpler parts. These parts are usually binomials. Breaking down the equation is called factoring. |
| (x+5)(x+1)=0 |
is the equation broken down. |
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The zero product property says that if you multiply two terms together and get zero for an answer one or both of the terms has to be equal to zero. |
| (x+5)=0 or (x+1)=0 Solve both smaller equations now. so x=-5 or -1 |
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We get two solutions for x. To check, plug both answers (one at a time) in to the original equation. |
| ex. x(x-7)=0 so x=0 or x-7=0 therefore x=0 or 7 |
| Will the same be true if three terms are multiplied together? Try it!!! |
(2x + 3)(x - 8)(3x - 9) = 0 |
| Plug in your three answers to check if they work. |
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