Question
Find the polynomial having roots at $ -\dfrac{ 1449 }{ 5000 } $ and $ -\dfrac{ 1449 }{ 5000 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 25000000x^2+14490000x+2099601 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -\dfrac{ 1449 }{ 5000 } $ | $ 5000x+1449 $ |
| $ -\dfrac{ 1449 }{ 5000 } $ | $ 5000x+1449 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 5000x+1449 \right) \cdot \left( 5000x+1449 \right) = 25000000x^2+14490000x+2099601 $$This page was created using
Polynomial From Roots Calculator