Question
Find the polynomial having roots at $ -\dfrac{ 1 }{ 100 } $ , $ \dfrac{ 2 }{ 25 } $ and $ \dfrac{ 2 }{ 5 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 12500x^3-5875x^2+340x+4 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -\dfrac{ 1 }{ 100 } $ | $ 100x+1 $ |
| $ \dfrac{ 2 }{ 25 } $ | $ 25x-2 $ |
| $ \dfrac{ 2 }{ 5 } $ | $ 5x-2 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 100x+1 \right) \cdot \left( 25x-2 \right) \cdot \left( 5x-2 \right) = 12500x^3-5875x^2+340x+4 $$This page was created using
Polynomial From Roots Calculator