Question
Find the polynomial having roots at $ \dfrac{ 43 }{ 2 } $ and $ -\dfrac{ 13 }{ 4 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 8x^2-146x-559 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 43 }{ 2 } $ | $ 2x-43 $ |
| $ -\dfrac{ 13 }{ 4 } $ | $ 4x+13 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 2x-43 \right) \cdot \left( 4x+13 \right) = 8x^2-146x-559 $$This page was created using
Polynomial From Roots Calculator