Question
Find the polynomial having roots at $ \dfrac{ 1047 }{ 5000 } $ , $ 1 $ and $ \dfrac{ 3581 }{ 2000 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 10000000x^3-29999000x^2+23748307x-3749307 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 1047 }{ 5000 } $ | $ 5000x-1047 $ |
| $ 1 $ | $ x-1 $ |
| $ \dfrac{ 3581 }{ 2000 } $ | $ 2000x-3581 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 5000x-1047 \right) \cdot \left( x-1 \right) \cdot \left( 2000x-3581 \right) = 10000000x^3-29999000x^2+23748307x-3749307 $$This page was created using
Polynomial From Roots Calculator