Question
Find the polynomial having roots at $ 2 $ and $ \dfrac{ 21 }{ 10 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 10x^2-41x+42 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 2 $ | $ x-2 $ |
| $ \dfrac{ 21 }{ 10 } $ | $ 10x-21 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-2 \right) \cdot \left( 10x-21 \right) = 10x^2-41x+42 $$This page was created using
Polynomial From Roots Calculator