Question
Find the polynomial having roots at $ 400 $ and $ 350 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^2-750x+140000 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 400 $ | $ x-400 $ |
| $ 350 $ | $ x-350 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-400 \right) \cdot \left( x-350 \right) = x^2-750x+140000 $$This page was created using
Polynomial From Roots Calculator