Find the polynomial having roots at $ -2 $ , $ 6 $ and $ 10 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3-14x^2+28x+120 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -2 $ | $ x+2 $ |
| $ 6 $ | $ x-6 $ |
| $ 10 $ | $ x-10 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+2 \right) \cdot \left( x-6 \right) \cdot \left( x-10 \right) = x^3-14x^2+28x+120 $$This page was created using
Polynomial From Roots Calculator