Question
Find the polynomial having roots at $ \dfrac{ 101 }{ 100 } $ , $ \dfrac{ 161 }{ 100 } $ and $ \dfrac{ 28 }{ 25 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 250000x^3-935000x^2+1140125x-455308 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 101 }{ 100 } $ | $ 100x-101 $ |
| $ \dfrac{ 161 }{ 100 } $ | $ 100x-161 $ |
| $ \dfrac{ 28 }{ 25 } $ | $ 25x-28 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 100x-101 \right) \cdot \left( 100x-161 \right) \cdot \left( 25x-28 \right) = 250000x^3-935000x^2+1140125x-455308 $$This page was created using
Polynomial From Roots Calculator