Question
Find the polynomial having roots at $ -\dfrac{ 17 }{ 5 } $ and $ -\dfrac{ 33 }{ 10 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 50x^2+335x+561 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -\dfrac{ 17 }{ 5 } $ | $ 5x+17 $ |
| $ -\dfrac{ 33 }{ 10 } $ | $ 10x+33 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 5x+17 \right) \cdot \left( 10x+33 \right) = 50x^2+335x+561 $$This page was created using
Polynomial From Roots Calculator