Question
Find the polynomial having roots at $ 6 $ and $ \dfrac{ 17 }{ 6 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 6x^2-53x+102 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 6 $ | $ x-6 $ |
| $ \dfrac{ 17 }{ 6 } $ | $ 6x-17 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-6 \right) \cdot \left( 6x-17 \right) = 6x^2-53x+102 $$This page was created using
Polynomial From Roots Calculator