Question
Find the polynomial having roots at $ 0 $ , $ 500 $ and $ 1000 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3-1500x^2+500000x $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 0 $ | $ x $ |
| $ 500 $ | $ x-500 $ |
| $ 1000 $ | $ x-1000 $ |
Step 2: Multiply the factors together:
$$ P(x) = x \cdot \left( x-500 \right) \cdot \left( x-1000 \right) = x^3-1500x^2+500000x $$This page was created using
Polynomial From Roots Calculator