Question
Find the polynomial having roots at $ 6 $ , $ \dfrac{ 2809 }{ 250 } $ and $ \dfrac{ 67639 }{ 10000 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 2500000x^3-59999750x^2+459996451x-1139987706 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 6 $ | $ x-6 $ |
| $ \dfrac{ 2809 }{ 250 } $ | $ 250x-2809 $ |
| $ \dfrac{ 67639 }{ 10000 } $ | $ 10000x-67639 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-6 \right) \cdot \left( 250x-2809 \right) \cdot \left( 10000x-67639 \right) = 2500000x^3-59999750x^2+459996451x-1139987706 $$This page was created using
Polynomial From Roots Calculator