Question
Find the polynomial having roots at $ 2 $ , $ \dfrac{ 9449 }{ 1000 } $ and $ \dfrac{ 4551 }{ 1000 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 1000000x^3-16000000x^2+71002399x-86004798 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 2 $ | $ x-2 $ |
| $ \dfrac{ 9449 }{ 1000 } $ | $ 1000x-9449 $ |
| $ \dfrac{ 4551 }{ 1000 } $ | $ 1000x-4551 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-2 \right) \cdot \left( 1000x-9449 \right) \cdot \left( 1000x-4551 \right) = 1000000x^3-16000000x^2+71002399x-86004798 $$This page was created using
Polynomial From Roots Calculator