Question
Find the polynomial having roots at $ -\dfrac{ 14 }{ 25 } $ and $ -\dfrac{ 477 }{ 100 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 2500x^2+13325x+6678 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -\dfrac{ 14 }{ 25 } $ | $ 25x+14 $ |
| $ -\dfrac{ 477 }{ 100 } $ | $ 100x+477 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 25x+14 \right) \cdot \left( 100x+477 \right) = 2500x^2+13325x+6678 $$This page was created using
Polynomial From Roots Calculator