Question
Find the polynomial having roots at $ \dfrac{ 8 }{ 9 } $ , $ \dfrac{ 27 }{ 5 } $ and $ 900 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 45x^3-40783x^2+254916x-194400 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 8 }{ 9 } $ | $ 9x-8 $ |
| $ \dfrac{ 27 }{ 5 } $ | $ 5x-27 $ |
| $ 900 $ | $ x-900 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 9x-8 \right) \cdot \left( 5x-27 \right) \cdot \left( x-900 \right) = 45x^3-40783x^2+254916x-194400 $$This page was created using
Polynomial From Roots Calculator