Question
Find the polynomial having roots at $ -67 $ , $ 70 $ and $ 40 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3-43x^2-4570x+187600 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -67 $ | $ x+67 $ |
| $ 70 $ | $ x-70 $ |
| $ 40 $ | $ x-40 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+67 \right) \cdot \left( x-70 \right) \cdot \left( x-40 \right) = x^3-43x^2-4570x+187600 $$This page was created using
Polynomial From Roots Calculator