Find the polynomial having roots at $ \dfrac{ 379 }{ 10000 } $ and $ \dfrac{ 1201 }{ 5000 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 50000000x^2-13905000x+455179 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 379 }{ 10000 } $ | $ 10000x-379 $ |
| $ \dfrac{ 1201 }{ 5000 } $ | $ 5000x-1201 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 10000x-379 \right) \cdot \left( 5000x-1201 \right) = 50000000x^2-13905000x+455179 $$This page was created using
Polynomial From Roots Calculator