Question
Find the polynomial having roots at $ -47 $ , $ -99 $ and $ 83 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3+63x^2-7465x-386199 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -47 $ | $ x+47 $ |
| $ -99 $ | $ x+99 $ |
| $ 83 $ | $ x-83 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+47 \right) \cdot \left( x+99 \right) \cdot \left( x-83 \right) = x^3+63x^2-7465x-386199 $$This page was created using
Polynomial From Roots Calculator