Question
Find the polynomial having roots at $ \dfrac{ 29 }{ 2 } $ and $ -16 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 2x^2+3x-464 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 29 }{ 2 } $ | $ 2x-29 $ |
| $ -16 $ | $ x+16 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 2x-29 \right) \cdot \left( x+16 \right) = 2x^2+3x-464 $$This page was created using
Polynomial From Roots Calculator