Question
Find the polynomial having roots at $ -167 $ , $ 10 $ and $ 38 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3+119x^2-7636x+63460 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -167 $ | $ x+167 $ |
| $ 10 $ | $ x-10 $ |
| $ 38 $ | $ x-38 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+167 \right) \cdot \left( x-10 \right) \cdot \left( x-38 \right) = x^3+119x^2-7636x+63460 $$This page was created using
Polynomial From Roots Calculator