Find the polynomial having roots at $ -\dfrac{ 1571 }{ 1000 } $ , $ \dfrac{ 1571 }{ 1000 } $ and $ \dfrac{ 589 }{ 125 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 125000000x^3-589000000x^2-308505125x+1453676149 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -\dfrac{ 1571 }{ 1000 } $ | $ 1000x+1571 $ |
| $ \dfrac{ 1571 }{ 1000 } $ | $ 1000x-1571 $ |
| $ \dfrac{ 589 }{ 125 } $ | $ 125x-589 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 1000x+1571 \right) \cdot \left( 1000x-1571 \right) \cdot \left( 125x-589 \right) = 125000000x^3-589000000x^2-308505125x+1453676149 $$This page was created using
Polynomial From Roots Calculator