SOLUTION: Find a quadratic equation that has solutions 5 and -6

Question 149630: Find a quadratic equation that has solutions 5 and -6
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Since and are given zeros this means that:

and

Get all terms to the left side in each case

and

Now use the zero product property in reverse to join the factors.

Expand and multiply

-------------------------------------------
Answer:

So the polynomial with roots of and is

Notice how if we graph , we can visually verify our answer

Graph of with roots of and

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