Question
Find the polynomial having roots at $ 23 $ , $ 47 $ and $ 0 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3-70x^2+1081x $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 23 $ | $ x-23 $ |
| $ 47 $ | $ x-47 $ |
| $ 0 $ | $ x $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-23 \right) \cdot \left( x-47 \right) \cdot x = x^3-70x^2+1081x $$This page was created using
Polynomial From Roots Calculator