Question
Find the polynomial having roots at $ 1 $ , $ 29 $ and $ 2008 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3-2038x^2+60269x-58232 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 1 $ | $ x-1 $ |
| $ 29 $ | $ x-29 $ |
| $ 2008 $ | $ x-2008 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-1 \right) \cdot \left( x-29 \right) \cdot \left( x-2008 \right) = x^3-2038x^2+60269x-58232 $$This page was created using
Polynomial From Roots Calculator