Question
Find the polynomial having roots at $ -\dfrac{ 2 }{ 5 } $ , $ -4 $ and $ \dfrac{ 2 }{ 5 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 25x^3+100x^2-4x-16 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -\dfrac{ 2 }{ 5 } $ | $ 5x+2 $ |
| $ -4 $ | $ x+4 $ |
| $ \dfrac{ 2 }{ 5 } $ | $ 5x-2 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 5x+2 \right) \cdot \left( x+4 \right) \cdot \left( 5x-2 \right) = 25x^3+100x^2-4x-16 $$This page was created using
Polynomial From Roots Calculator