Question
Find the polynomial having roots at $ 2001 $ , $ 27 $ and $ 5 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3-2033x^2+64167x-270135 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 2001 $ | $ x-2001 $ |
| $ 27 $ | $ x-27 $ |
| $ 5 $ | $ x-5 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-2001 \right) \cdot \left( x-27 \right) \cdot \left( x-5 \right) = x^3-2033x^2+64167x-270135 $$This page was created using
Polynomial From Roots Calculator