Find the polynomial having roots at $ -\dfrac{ 2 }{ 5 } $ , $ -5 $ and $ 3 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 5x^3+12x^2-71x-30 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -\dfrac{ 2 }{ 5 } $ | $ 5x+2 $ |
| $ -5 $ | $ x+5 $ |
| $ 3 $ | $ x-3 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 5x+2 \right) \cdot \left( x+5 \right) \cdot \left( x-3 \right) = 5x^3+12x^2-71x-30 $$This page was created using
Polynomial From Roots Calculator