Question
Find the polynomial having roots at $ -\dfrac{ 14 }{ 5 } $ , $ 0 $ and $ \dfrac{ 14 }{ 5 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 25x^3-196x $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -\dfrac{ 14 }{ 5 } $ | $ 5x+14 $ |
| $ 0 $ | $ x $ |
| $ \dfrac{ 14 }{ 5 } $ | $ 5x-14 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 5x+14 \right) \cdot x \cdot \left( 5x-14 \right) = 25x^3-196x $$This page was created using
Polynomial From Roots Calculator