Question
Find the polynomial having roots at $ 0 $ , $ \dfrac{ 7 }{ 3 } $ and $ -4 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 3x^3+5x^2-28x $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 0 $ | $ x $ |
| $ \dfrac{ 7 }{ 3 } $ | $ 3x-7 $ |
| $ -4 $ | $ x+4 $ |
Step 2: Multiply the factors together:
$$ P(x) = x \cdot \left( 3x-7 \right) \cdot \left( x+4 \right) = 3x^3+5x^2-28x $$This page was created using
Polynomial From Roots Calculator