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Chapter 4 Notes Packet on Quadratic Functions and Factoring Answer Key Form

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in this lesson we're going to talk about solving quadratic equations by factoring so let's start with this example x squared - 49 is equal to zero you can use the difference of perfect squares technique for this one the square root of x squared is X the square root of 49 is 7 so it's gonna be X plus 7 and X minus 7 now you need to set each factor equal to 0 at this point and then you just find the value of x so we have X plus 7 is equal to 0 and X minus 7 is equal to 0 the reason why we can do that is because if one of these terms is equal to 0 then everything is 0 0 times anything is 0 so X is equal to negative 7 and in the other equation if we add 7 to both sides we can see that X is equal to positive 7 let's try another example let's say if we have 3x squared minus 75 is equal to 0 what is the value of x 3 and 75 are not perfect squares so we don't want to use the difference of perfect squares taken again however we can take out the GCF the greatest common factor which is 3 3x squa

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