Find the polynomial having roots at $ 69 $ , $ 327 $ and $ 780 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3-1176x^2+331443x-17599140 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 69 $ | $ x-69 $ |
| $ 327 $ | $ x-327 $ |
| $ 780 $ | $ x-780 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-69 \right) \cdot \left( x-327 \right) \cdot \left( x-780 \right) = x^3-1176x^2+331443x-17599140 $$This page was created using
Polynomial From Roots Calculator