Find the polynomial having roots at $ 685 $ and $ 709 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^2-1394x+485665 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 685 $ | $ x-685 $ |
| $ 709 $ | $ x-709 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-685 \right) \cdot \left( x-709 \right) = x^2-1394x+485665 $$This page was created using
Polynomial From Roots Calculator