Question
Find the polynomial having roots at $ \dfrac{ 25 }{ 2 } $ , $ 25 $ and $ 53 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 2x^3-181x^2+4600x-33125 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 25 }{ 2 } $ | $ 2x-25 $ |
| $ 25 $ | $ x-25 $ |
| $ 53 $ | $ x-53 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 2x-25 \right) \cdot \left( x-25 \right) \cdot \left( x-53 \right) = 2x^3-181x^2+4600x-33125 $$This page was created using
Polynomial From Roots Calculator