Question
Find the polynomial having roots at $ 22750 $ and $ \dfrac{ 79 }{ 100 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 100x^2-2275079x+1797250 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 22750 $ | $ x-22750 $ |
| $ \dfrac{ 79 }{ 100 } $ | $ 100x-79 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-22750 \right) \cdot \left( 100x-79 \right) = 100x^2-2275079x+1797250 $$This page was created using
Polynomial From Roots Calculator