Question
Find the polynomial having roots at $ -9 $ , $ -11 $ , $ -20 $ and $ -1 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4+41x^3+539x^2+2479x+1980 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -9 $ | $ x+9 $ |
| $ -11 $ | $ x+11 $ |
| $ -20 $ | $ x+20 $ |
| $ -1 $ | $ x+1 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+9 \right) \cdot \left( x+11 \right) \cdot \left( x+20 \right) \cdot \left( x+1 \right) = x^4+41x^3+539x^2+2479x+1980 $$This page was created using
Polynomial From Roots Calculator