Question
Find the polynomial having roots at $ 8 $ , $ \dfrac{ 12111 }{ 20000 } $ and $ -\dfrac{ 1321 }{ 200 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 4000000x^3-8002200x^2-207981031x+127989048 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 8 $ | $ x-8 $ |
| $ \dfrac{ 12111 }{ 20000 } $ | $ 20000x-12111 $ |
| $ -\dfrac{ 1321 }{ 200 } $ | $ 200x+1321 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-8 \right) \cdot \left( 20000x-12111 \right) \cdot \left( 200x+1321 \right) = 4000000x^3-8002200x^2-207981031x+127989048 $$This page was created using
Polynomial From Roots Calculator