Question
Find the polynomial having roots at $ 57 $ and $ 41 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^2-98x+2337 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 57 $ | $ x-57 $ |
| $ 41 $ | $ x-41 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-57 \right) \cdot \left( x-41 \right) = x^2-98x+2337 $$This page was created using
Polynomial From Roots Calculator