Find the polynomial having roots at $ \dfrac{ 2 }{ 5 } $ , $ -\dfrac{ 5 }{ 2 } $ and $ 0 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 10x^3+21x^2-10x $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 2 }{ 5 } $ | $ 5x-2 $ |
| $ -\dfrac{ 5 }{ 2 } $ | $ 2x+5 $ |
| $ 0 $ | $ x $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 5x-2 \right) \cdot \left( 2x+5 \right) \cdot x = 10x^3+21x^2-10x $$This page was created using
Polynomial From Roots Calculator