Question
Find the polynomial having roots at $ 108 $ and $ 100 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^2-208x+10800 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 108 $ | $ x-108 $ |
| $ 100 $ | $ x-100 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-108 \right) \cdot \left( x-100 \right) = x^2-208x+10800 $$This page was created using
Polynomial From Roots Calculator