Question
Find the polynomial having roots at $ \dfrac{ 19 }{ 40 } $ and $ \dfrac{ 21 }{ 40 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 1600x^2-1600x+399 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 19 }{ 40 } $ | $ 40x-19 $ |
| $ \dfrac{ 21 }{ 40 } $ | $ 40x-21 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 40x-19 \right) \cdot \left( 40x-21 \right) = 1600x^2-1600x+399 $$This page was created using
Polynomial From Roots Calculator