Find the polynomial having roots at $ -3 $ , $ \dfrac{ 377 }{ 500 } $ and $ 5 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 500x^3-1377x^2-6746x+5655 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -3 $ | $ x+3 $ |
| $ \dfrac{ 377 }{ 500 } $ | $ 500x-377 $ |
| $ 5 $ | $ x-5 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+3 \right) \cdot \left( 500x-377 \right) \cdot \left( x-5 \right) = 500x^3-1377x^2-6746x+5655 $$This page was created using
Polynomial From Roots Calculator