Find the polynomial having roots at $ 2 $ , $ 1 $ and $ -\dfrac{ 126 }{ 5 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 5x^3+111x^2-368x+252 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 2 $ | $ x-2 $ |
| $ 1 $ | $ x-1 $ |
| $ -\dfrac{ 126 }{ 5 } $ | $ 5x+126 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-2 \right) \cdot \left( x-1 \right) \cdot \left( 5x+126 \right) = 5x^3+111x^2-368x+252 $$This page was created using
Polynomial From Roots Calculator