Question
Find the polynomial having roots at $ 9 $ , $ 10 $ and $ -6 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3-13x^2-24x+540 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 9 $ | $ x-9 $ |
| $ 10 $ | $ x-10 $ |
| $ -6 $ | $ x+6 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-9 \right) \cdot \left( x-10 \right) \cdot \left( x+6 \right) = x^3-13x^2-24x+540 $$This page was created using
Polynomial From Roots Calculator