Question
Find the polynomial having roots at $ -2 $ and $ \dfrac{ 79 }{ 25 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 25x^2-29x-158 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -2 $ | $ x+2 $ |
| $ \dfrac{ 79 }{ 25 } $ | $ 25x-79 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+2 \right) \cdot \left( 25x-79 \right) = 25x^2-29x-158 $$This page was created using
Polynomial From Roots Calculator