Question
Find the polynomial having roots at $ 4 $ , $ 6 $ and $ \dfrac{ 3 }{ 25 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 25x^3-253x^2+630x-72 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 4 $ | $ x-4 $ |
| $ 6 $ | $ x-6 $ |
| $ \dfrac{ 3 }{ 25 } $ | $ 25x-3 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-4 \right) \cdot \left( x-6 \right) \cdot \left( 25x-3 \right) = 25x^3-253x^2+630x-72 $$This page was created using
Polynomial From Roots Calculator