Find the polynomial having roots at $ -2 $ , $ -2 $ , $ -2 $ and $ 3 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4+3x^3-6x^2-28x-24 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -2 $ | $ x+2 $ |
| $ -2 $ | $ x+2 $ |
| $ -2 $ | $ x+2 $ |
| $ 3 $ | $ x-3 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+2 \right) \cdot \left( x+2 \right) \cdot \left( x+2 \right) \cdot \left( x-3 \right) = x^4+3x^3-6x^2-28x-24 $$This page was created using
Polynomial From Roots Calculator