Question
Find the polynomial having roots at $ 57 $ , $ 43 $ and $ 1 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3-101x^2+2551x-2451 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 57 $ | $ x-57 $ |
| $ 43 $ | $ x-43 $ |
| $ 1 $ | $ x-1 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-57 \right) \cdot \left( x-43 \right) \cdot \left( x-1 \right) = x^3-101x^2+2551x-2451 $$This page was created using
Polynomial From Roots Calculator