Question
Find the polynomial having roots at $ \dfrac{ 3581 }{ 500 } $ and $ \dfrac{ 419 }{ 500 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 250000x^2-2000000x+1500439 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 3581 }{ 500 } $ | $ 500x-3581 $ |
| $ \dfrac{ 419 }{ 500 } $ | $ 500x-419 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 500x-3581 \right) \cdot \left( 500x-419 \right) = 250000x^2-2000000x+1500439 $$This page was created using
Polynomial From Roots Calculator