Question
Find the polynomial having roots at $ \dfrac{ 439 }{ 100 } $ , $ \dfrac{ 22 }{ 5 } $ , $ \dfrac{ 441 }{ 100 } $ and $ \dfrac{ 221 }{ 50 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 2500000x^4-44050000x^3+291059750x^2-854741795x+941278338 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 439 }{ 100 } $ | $ 100x-439 $ |
| $ \dfrac{ 22 }{ 5 } $ | $ 5x-22 $ |
| $ \dfrac{ 441 }{ 100 } $ | $ 100x-441 $ |
| $ \dfrac{ 221 }{ 50 } $ | $ 50x-221 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 100x-439 \right) \cdot \left( 5x-22 \right) \cdot \left( 100x-441 \right) \cdot \left( 50x-221 \right) = 2500000x^4-44050000x^3+291059750x^2-854741795x+941278338 $$This page was created using
Polynomial From Roots Calculator