Question
Find the polynomial having roots at $ 100 $ , $ 150 $ , $ 200 $ and $ 250 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4-700x^3+177500x^2-19250000x+750000000 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 100 $ | $ x-100 $ |
| $ 150 $ | $ x-150 $ |
| $ 200 $ | $ x-200 $ |
| $ 250 $ | $ x-250 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-100 \right) \cdot \left( x-150 \right) \cdot \left( x-200 \right) \cdot \left( x-250 \right) = x^4-700x^3+177500x^2-19250000x+750000000 $$This page was created using
Polynomial From Roots Calculator