Find the polynomial having roots at $ 420 $ and $ 69 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^2-489x+28980 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 420 $ | $ x-420 $ |
| $ 69 $ | $ x-69 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-420 \right) \cdot \left( x-69 \right) = x^2-489x+28980 $$This page was created using
Polynomial From Roots Calculator