Question
Find the polynomial having roots at $ 500 $ , $ 2000 $ and $ 3500 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3-6000x^2+9750000x-3500000000 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 500 $ | $ x-500 $ |
| $ 2000 $ | $ x-2000 $ |
| $ 3500 $ | $ x-3500 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-500 \right) \cdot \left( x-2000 \right) \cdot \left( x-3500 \right) = x^3-6000x^2+9750000x-3500000000 $$This page was created using
Polynomial From Roots Calculator