Question
Find the polynomial having roots at $ \dfrac{ 2 }{ 5 } $ , $ \dfrac{ 1433 }{ 250 } $ and $ \dfrac{ 567 }{ 250 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 312500x^3-2625000x^2+5062555x-1625022 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 2 }{ 5 } $ | $ 5x-2 $ |
| $ \dfrac{ 1433 }{ 250 } $ | $ 250x-1433 $ |
| $ \dfrac{ 567 }{ 250 } $ | $ 250x-567 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 5x-2 \right) \cdot \left( 250x-1433 \right) \cdot \left( 250x-567 \right) = 312500x^3-2625000x^2+5062555x-1625022 $$This page was created using
Polynomial From Roots Calculator