Question
Find the polynomial having roots at $ \dfrac{ 17 }{ 100 } $ and $ -\dfrac{ 17 }{ 100 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 10000x^2-289 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 17 }{ 100 } $ | $ 100x-17 $ |
| $ -\dfrac{ 17 }{ 100 } $ | $ 100x+17 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 100x-17 \right) \cdot \left( 100x+17 \right) = 10000x^2-289 $$This page was created using
Polynomial From Roots Calculator