Question
Find the polynomial having roots at $ 21 $ , $ 14 $ and $ 3 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3-38x^2+399x-882 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 21 $ | $ x-21 $ |
| $ 14 $ | $ x-14 $ |
| $ 3 $ | $ x-3 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-21 \right) \cdot \left( x-14 \right) \cdot \left( x-3 \right) = x^3-38x^2+399x-882 $$This page was created using
Polynomial From Roots Calculator