Question
Find the polynomial having roots at $ 1000 $ , $ 1500 $ and $ 2000 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3-4500x^2+6500000x-3000000000 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 1000 $ | $ x-1000 $ |
| $ 1500 $ | $ x-1500 $ |
| $ 2000 $ | $ x-2000 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-1000 \right) \cdot \left( x-1500 \right) \cdot \left( x-2000 \right) = x^3-4500x^2+6500000x-3000000000 $$This page was created using
Polynomial From Roots Calculator