Write the given roots to quadraatic equation

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Question:

write the given roots to quadraatic equation

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Answer:It's like solving a quadratic, but in reverse, and in this case you'll arrive at x2+x−12=0Explanation:We're going to go "backwards" with this problem - normally we're asked to take a quadratic equation and find the roots. So we'll do what we normally do, but in reverse:Let's start with the roots:x=3, x=−4So let's move the constants over with the x terms to have equations equal to 0:x−3=0, x+4=0Now we can set up the equation, as:(x−3)(x+4)=0We can now distribute out the 2 quantities:x2+x−12=0

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