Find the polynomial having roots at $ 1 $ , $ -\dfrac{ 2 }{ 3 } $ and $ 0 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 3x^3-x^2-2x $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 1 $ | $ x-1 $ |
| $ -\dfrac{ 2 }{ 3 } $ | $ 3x+2 $ |
| $ 0 $ | $ x $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-1 \right) \cdot \left( 3x+2 \right) \cdot x = 3x^3-x^2-2x $$This page was created using
Polynomial From Roots Calculator