Question
Find the polynomial having roots at $ -5 $ , $ -1 $ , $ 11 $ and $ -7 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4+2x^3-96x^2-482x-385 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -5 $ | $ x+5 $ |
| $ -1 $ | $ x+1 $ |
| $ 11 $ | $ x-11 $ |
| $ -7 $ | $ x+7 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+5 \right) \cdot \left( x+1 \right) \cdot \left( x-11 \right) \cdot \left( x+7 \right) = x^4+2x^3-96x^2-482x-385 $$This page was created using
Polynomial From Roots Calculator