Question
Find the polynomial having roots at $ -3 $ and $ \dfrac{ 70710703 }{ 25000000 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 25000000x^2+4289297x-212132109 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -3 $ | $ x+3 $ |
| $ \dfrac{ 70710703 }{ 25000000 } $ | $ 25000000x-70710703 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+3 \right) \cdot \left( 25000000x-70710703 \right) = 25000000x^2+4289297x-212132109 $$This page was created using
Polynomial From Roots Calculator