Question
Find the polynomial having roots at $ \dfrac{ 306 }{ 125 } $ and $ -\dfrac{ 306 }{ 125 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 15625x^2-93636 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 306 }{ 125 } $ | $ 125x-306 $ |
| $ -\dfrac{ 306 }{ 125 } $ | $ 125x+306 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 125x-306 \right) \cdot \left( 125x+306 \right) = 15625x^2-93636 $$This page was created using
Polynomial From Roots Calculator