Question
Find the polynomial having roots at $ \dfrac{ 1 }{ 2749 } $ , $ \dfrac{ 4 }{ 12789 } $ and $ \dfrac{ 3 }{ 4 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 140627844x^3-105566023x^2+71371x-12 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 1 }{ 2749 } $ | $ 2749x-1 $ |
| $ \dfrac{ 4 }{ 12789 } $ | $ 12789x-4 $ |
| $ \dfrac{ 3 }{ 4 } $ | $ 4x-3 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 2749x-1 \right) \cdot \left( 12789x-4 \right) \cdot \left( 4x-3 \right) = 140627844x^3-105566023x^2+71371x-12 $$This page was created using
Polynomial From Roots Calculator