Question
Find the polynomial having roots at $ -4 $ and $ \dfrac{ 9 }{ 2 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 2x^2-x-36 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -4 $ | $ x+4 $ |
| $ \dfrac{ 9 }{ 2 } $ | $ 2x-9 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+4 \right) \cdot \left( 2x-9 \right) = 2x^2-x-36 $$This page was created using
Polynomial From Roots Calculator