Question
Find the polynomial having roots at $ 30 $ , $ 21 $ and $ 16 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3-67x^2+1446x-10080 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 30 $ | $ x-30 $ |
| $ 21 $ | $ x-21 $ |
| $ 16 $ | $ x-16 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-30 \right) \cdot \left( x-21 \right) \cdot \left( x-16 \right) = x^3-67x^2+1446x-10080 $$This page was created using
Polynomial From Roots Calculator