Question
Find the polynomial having roots at $ -\dfrac{ 5 }{ 6 } $ , $ 2 $ and $ 5 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 6x^3-37x^2+25x+50 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -\dfrac{ 5 }{ 6 } $ | $ 6x+5 $ |
| $ 2 $ | $ x-2 $ |
| $ 5 $ | $ x-5 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 6x+5 \right) \cdot \left( x-2 \right) \cdot \left( x-5 \right) = 6x^3-37x^2+25x+50 $$This page was created using
Polynomial From Roots Calculator