Question
Find the polynomial having roots at $ 9 $ , $ -9 $ and $ \dfrac{ 9 }{ 5 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 5x^3-9x^2-405x+729 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 9 $ | $ x-9 $ |
| $ -9 $ | $ x+9 $ |
| $ \dfrac{ 9 }{ 5 } $ | $ 5x-9 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-9 \right) \cdot \left( x+9 \right) \cdot \left( 5x-9 \right) = 5x^3-9x^2-405x+729 $$This page was created using
Polynomial From Roots Calculator