Question
Find the polynomial having roots at $ 0 $ , $ -\dfrac{ 1 }{ 6 } $ and $ -3 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 6x^3+19x^2+3x $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 0 $ | $ x $ |
| $ -\dfrac{ 1 }{ 6 } $ | $ 6x+1 $ |
| $ -3 $ | $ x+3 $ |
Step 2: Multiply the factors together:
$$ P(x) = x \cdot \left( 6x+1 \right) \cdot \left( x+3 \right) = 6x^3+19x^2+3x $$This page was created using
Polynomial From Roots Calculator