Question
Find the polynomial having roots at $ 3 $ , $ \dfrac{ 1323 }{ 500 } $ and $ -\dfrac{ 1323 }{ 500 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 250000x^3-750000x^2-1750329x+5250987 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 3 $ | $ x-3 $ |
| $ \dfrac{ 1323 }{ 500 } $ | $ 500x-1323 $ |
| $ -\dfrac{ 1323 }{ 500 } $ | $ 500x+1323 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-3 \right) \cdot \left( 500x-1323 \right) \cdot \left( 500x+1323 \right) = 250000x^3-750000x^2-1750329x+5250987 $$This page was created using
Polynomial From Roots Calculator