Question
Find the polynomial having roots at $ \dfrac{ 3 }{ 2 } $ , $ -5 $ and $ -1 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 2x^3+9x^2-8x-15 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 3 }{ 2 } $ | $ 2x-3 $ |
| $ -5 $ | $ x+5 $ |
| $ -1 $ | $ x+1 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 2x-3 \right) \cdot \left( x+5 \right) \cdot \left( x+1 \right) = 2x^3+9x^2-8x-15 $$This page was created using
Polynomial From Roots Calculator