Find the polynomial having roots at $ 0 $ , $ -6 $ and $ 3 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3+3x^2-18x $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 0 $ | $ x $ |
| $ -6 $ | $ x+6 $ |
| $ 3 $ | $ x-3 $ |
Step 2: Multiply the factors together:
$$ P(x) = x \cdot \left( x+6 \right) \cdot \left( x-3 \right) = x^3+3x^2-18x $$This page was created using
Polynomial From Roots Calculator