Question
Find the polynomial having roots at $ -3 $ , $ -\dfrac{ 2 }{ 5 } $ , $ 0 $ and $ 4 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 5x^4-3x^3-62x^2-24x $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -3 $ | $ x+3 $ |
| $ -\dfrac{ 2 }{ 5 } $ | $ 5x+2 $ |
| $ 0 $ | $ x $ |
| $ 4 $ | $ x-4 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+3 \right) \cdot \left( 5x+2 \right) \cdot x \cdot \left( x-4 \right) = 5x^4-3x^3-62x^2-24x $$This page was created using
Polynomial From Roots Calculator