Question
Find the polynomial having roots at $ 0 $ , $ 0 $ and $ 13 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3-13x^2 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 0 $ | $ x $ |
| $ 0 $ | $ x $ |
| $ 13 $ | $ x-13 $ |
Step 2: Multiply the factors together:
$$ P(x) = x \cdot x \cdot \left( x-13 \right) = x^3-13x^2 $$This page was created using
Polynomial From Roots Calculator