Question
Find the polynomial having roots at $ \dfrac{ 2 }{ 5 } $ , $ 1 $ and $ \dfrac{ 3 }{ 4 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 20x^3-43x^2+29x-6 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 2 }{ 5 } $ | $ 5x-2 $ |
| $ 1 $ | $ x-1 $ |
| $ \dfrac{ 3 }{ 4 } $ | $ 4x-3 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 5x-2 \right) \cdot \left( x-1 \right) \cdot \left( 4x-3 \right) = 20x^3-43x^2+29x-6 $$This page was created using
Polynomial From Roots Calculator