Question
Find the polynomial having roots at $ -2 $ , $ -1 $ and $ \dfrac{ 7 }{ 6 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 6x^3+11x^2-9x-14 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -2 $ | $ x+2 $ |
| $ -1 $ | $ x+1 $ |
| $ \dfrac{ 7 }{ 6 } $ | $ 6x-7 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+2 \right) \cdot \left( x+1 \right) \cdot \left( 6x-7 \right) = 6x^3+11x^2-9x-14 $$This page was created using
Polynomial From Roots Calculator