Find the polynomial having roots at $ 4 $ , $ -2 $ and $ 0 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3-2x^2-8x $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 4 $ | $ x-4 $ |
| $ -2 $ | $ x+2 $ |
| $ 0 $ | $ x $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-4 \right) \cdot \left( x+2 \right) \cdot x = x^3-2x^2-8x $$This page was created using
Polynomial From Roots Calculator