Question
Find the polynomial having roots at $ -5 $ , $ -\dfrac{ 59629 }{ 50000 } $ and $ \dfrac{ 209629 }{ 50000 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 2500000000x^3+5000000000x^2-49999967641x-62499838205 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -5 $ | $ x+5 $ |
| $ -\dfrac{ 59629 }{ 50000 } $ | $ 50000x+59629 $ |
| $ \dfrac{ 209629 }{ 50000 } $ | $ 50000x-209629 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+5 \right) \cdot \left( 50000x+59629 \right) \cdot \left( 50000x-209629 \right) = 2500000000x^3+5000000000x^2-49999967641x-62499838205 $$This page was created using
Polynomial From Roots Calculator