Question
Find the polynomial having roots at $ \dfrac{ 9 }{ 20 } $ and $ 0 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 20x^2-9x $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 9 }{ 20 } $ | $ 20x-9 $ |
| $ 0 $ | $ x $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 20x-9 \right) \cdot x = 20x^2-9x $$This page was created using
Polynomial From Roots Calculator