Question
Find the polynomial having roots at $ 17 $ and $ \dfrac{ 1 }{ 25 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 25x^2-426x+17 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 17 $ | $ x-17 $ |
| $ \dfrac{ 1 }{ 25 } $ | $ 25x-1 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-17 \right) \cdot \left( 25x-1 \right) = 25x^2-426x+17 $$This page was created using
Polynomial From Roots Calculator