Question
Find the polynomial having roots at $ 100 $ and $ -100 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^2-10000 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 100 $ | $ x-100 $ |
| $ -100 $ | $ x+100 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-100 \right) \cdot \left( x+100 \right) = x^2-10000 $$This page was created using
Polynomial From Roots Calculator