Find the polynomial having roots at $ \dfrac{ 14 }{ 5 } $ and $ \dfrac{ 7 }{ 10 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 50x^2-175x+98 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 14 }{ 5 } $ | $ 5x-14 $ |
| $ \dfrac{ 7 }{ 10 } $ | $ 10x-7 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 5x-14 \right) \cdot \left( 10x-7 \right) = 50x^2-175x+98 $$This page was created using
Polynomial From Roots Calculator