Question
Find the polynomial having roots at $ 145883 $ , $ 0 $ , $ 50 $ and $ \dfrac{ 33 }{ 50 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 50x^4-7296683x^3+369523289x^2-240706950x $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 145883 $ | $ x-145883 $ |
| $ 0 $ | $ x $ |
| $ 50 $ | $ x-50 $ |
| $ \dfrac{ 33 }{ 50 } $ | $ 50x-33 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-145883 \right) \cdot x \cdot \left( x-50 \right) \cdot \left( 50x-33 \right) = 50x^4-7296683x^3+369523289x^2-240706950x $$This page was created using
Polynomial From Roots Calculator