Question
Find the polynomial having roots at $ 869 $ , $ \dfrac{ 669 }{ 1000 } $ and $ 44 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 1000x^3-913669x^2+38846797x-25579884 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 869 $ | $ x-869 $ |
| $ \dfrac{ 669 }{ 1000 } $ | $ 1000x-669 $ |
| $ 44 $ | $ x-44 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-869 \right) \cdot \left( 1000x-669 \right) \cdot \left( x-44 \right) = 1000x^3-913669x^2+38846797x-25579884 $$This page was created using
Polynomial From Roots Calculator