Question
Find the polynomial having roots at $ \dfrac{ 113 }{ 100 } $ and $ \dfrac{ 89 }{ 25 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 2500x^2-11725x+10057 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 113 }{ 100 } $ | $ 100x-113 $ |
| $ \dfrac{ 89 }{ 25 } $ | $ 25x-89 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 100x-113 \right) \cdot \left( 25x-89 \right) = 2500x^2-11725x+10057 $$This page was created using
Polynomial From Roots Calculator