Question
Find the polynomial having roots at $ 3 $ , $ \dfrac{ 559 }{ 250 } $ and $ -\dfrac{ 559 }{ 250 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 62500x^3-187500x^2-312481x+937443 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 3 $ | $ x-3 $ |
| $ \dfrac{ 559 }{ 250 } $ | $ 250x-559 $ |
| $ -\dfrac{ 559 }{ 250 } $ | $ 250x+559 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-3 \right) \cdot \left( 250x-559 \right) \cdot \left( 250x+559 \right) = 62500x^3-187500x^2-312481x+937443 $$This page was created using
Polynomial From Roots Calculator