Question
Find the polynomial having roots at $ 0 $ , $ -9 $ and $ -12 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3+21x^2+108x $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 0 $ | $ x $ |
| $ -9 $ | $ x+9 $ |
| $ -12 $ | $ x+12 $ |
Step 2: Multiply the factors together:
$$ P(x) = x \cdot \left( x+9 \right) \cdot \left( x+12 \right) = x^3+21x^2+108x $$This page was created using
Polynomial From Roots Calculator