Question
Find the polynomial having roots at $ -952 $ , $ -752 $ , $ -254 $ and $ -30 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4+1988x^3+1207460x^2+216301216x+5455188480 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -952 $ | $ x+952 $ |
| $ -752 $ | $ x+752 $ |
| $ -254 $ | $ x+254 $ |
| $ -30 $ | $ x+30 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+952 \right) \cdot \left( x+752 \right) \cdot \left( x+254 \right) \cdot \left( x+30 \right) = x^4+1988x^3+1207460x^2+216301216x+5455188480 $$This page was created using
Polynomial From Roots Calculator