Question
Find the polynomial having roots at $ \dfrac{ 2 }{ 5 } $ , $ -3 $ and $ -9 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 5x^3+58x^2+111x-54 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 2 }{ 5 } $ | $ 5x-2 $ |
| $ -3 $ | $ x+3 $ |
| $ -9 $ | $ x+9 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 5x-2 \right) \cdot \left( x+3 \right) \cdot \left( x+9 \right) = 5x^3+58x^2+111x-54 $$This page was created using
Polynomial From Roots Calculator