Find the polynomial having roots at $ -20 $ , $ -7 $ , $ -3 $ , $ 1 $ and $ 8 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^5+21x^4-41x^3-1329x^2-2012x+3360 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -20 $ | $ x+20 $ |
| $ -7 $ | $ x+7 $ |
| $ -3 $ | $ x+3 $ |
| $ 1 $ | $ x-1 $ |
| $ 8 $ | $ x-8 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+20 \right) \cdot \left( x+7 \right) \cdot \left( x+3 \right) \cdot \left( x-1 \right) \cdot \left( x-8 \right) = x^5+21x^4-41x^3-1329x^2-2012x+3360 $$This page was created using
Polynomial From Roots Calculator