Question
Find the polynomial having roots at $ 23 $ , $ 22 $ and $ 21 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3-66x^2+1451x-10626 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 23 $ | $ x-23 $ |
| $ 22 $ | $ x-22 $ |
| $ 21 $ | $ x-21 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-23 \right) \cdot \left( x-22 \right) \cdot \left( x-21 \right) = x^3-66x^2+1451x-10626 $$This page was created using
Polynomial From Roots Calculator