SOLUTION: Please help me with this problem: Write the equation of these roots. 6, -2/3

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Question 206082This question is from textbook
: Please help me with this problem: Write the equation of these roots. 6, -2/3 This question is from textbook

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
When you are given the rots, it is easy to write a term that would make that root true.
A root says that when the variable is at the root, the value of the term is 0
So a root of 6 means x=6 which then means x-6=0%29. So one term is %28x-6%29
Similarly, a root of -2%2F3, means x=-2%2F3. So x%2B2%2F3=0. Another term is %28x%2B2%2F3%29.
Now that you have the terms that represent the roots, all you need to do to find the original equation is multiply those two term together
%28x-6%29%28x%2B2%2F3%29
x%5E2+%2B+2x%2F3+-6x+-12%2F3
x%5E2+-16x%2F3+-+4