Find the polynomial having roots at $ 0 $ and $ -\dfrac{ 5463 }{ 20 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 20x^2+5463x $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 0 $ | $ x $ |
| $ -\dfrac{ 5463 }{ 20 } $ | $ 20x+5463 $ |
Step 2: Multiply the factors together:
$$ P(x) = x \cdot \left( 20x+5463 \right) = 20x^2+5463x $$This page was created using
Polynomial From Roots Calculator