SOLUTION: Write a quadratic function that has zeros - 2/3 and 5.

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Question 177665This question is from textbook Saxon Algebra 2
: Write a quadratic function that has zeros - 2/3 and 5.This question is from textbook Saxon Algebra 2

Found 2 solutions by Edwin McCravy, solver91311:
Answer by Edwin McCravy(6938) About Me  (Show Source):
You can put this solution on YOUR website!
Write a quadratic function that has zeros -2/3 and 5

You solve it backward:

If you had solved it forward, you would have ended up with this:

x+=+-2%2F3        x+=+5

Before that you would have had:

3x+=+-2     x-5=0

Before that you would have had

3x+%2B+2+=+0   x-5=0

Before that you would have had:

 %283x%2B2%29%28x-5%29=0

Before that you would have had

 3x%5E2-13x-10=0

Before that you would have had:

 f%28x%29=3x%5E2-13x-10

Edwin


Answer by solver91311(12126) About Me  (Show Source):
You can put this solution on YOUR website!
If is a solution of a polynomial equation, then is a factor of the polynomial. Similarly, is also a factor of the polynomial. Since you are given that the polynomial is a quadratic, there are exactly two factors. So, use FOIL to multiply and set the product equal to