Question
Find the polynomial having roots at $ -31680 $ and $ 31680 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^2-1003622400 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -31680 $ | $ x+31680 $ |
| $ 31680 $ | $ x-31680 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+31680 \right) \cdot \left( x-31680 \right) = x^2-1003622400 $$This page was created using
Polynomial From Roots Calculator