Question
Find the polynomial having roots at $ -5 $ , $ \dfrac{ 2449 }{ 1000 } $ and $ -\dfrac{ 2449 }{ 1000 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 1000000x^3+5000000x^2-5997601x-29988005 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -5 $ | $ x+5 $ |
| $ \dfrac{ 2449 }{ 1000 } $ | $ 1000x-2449 $ |
| $ -\dfrac{ 2449 }{ 1000 } $ | $ 1000x+2449 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+5 \right) \cdot \left( 1000x-2449 \right) \cdot \left( 1000x+2449 \right) = 1000000x^3+5000000x^2-5997601x-29988005 $$This page was created using
Polynomial From Roots Calculator