Question
Find the polynomial having roots at $ 67 $ , $ 69 $ and $ 284 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3-420x^2+43247x-1312932 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 67 $ | $ x-67 $ |
| $ 69 $ | $ x-69 $ |
| $ 284 $ | $ x-284 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-67 \right) \cdot \left( x-69 \right) \cdot \left( x-284 \right) = x^3-420x^2+43247x-1312932 $$This page was created using
Polynomial From Roots Calculator