Question
Find the polynomial having roots at $ \dfrac{ 35 }{ 2 } $ and $ \dfrac{ 19 }{ 2 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 4x^2-108x+665 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 35 }{ 2 } $ | $ 2x-35 $ |
| $ \dfrac{ 19 }{ 2 } $ | $ 2x-19 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 2x-35 \right) \cdot \left( 2x-19 \right) = 4x^2-108x+665 $$This page was created using
Polynomial From Roots Calculator