Question
Find the polynomial having roots at $ -\dfrac{ 3 }{ 2 } $ , $ \dfrac{ 5 }{ 3 } $ and $ -4 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 6x^3+23x^2-19x-60 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -\dfrac{ 3 }{ 2 } $ | $ 2x+3 $ |
| $ \dfrac{ 5 }{ 3 } $ | $ 3x-5 $ |
| $ -4 $ | $ x+4 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 2x+3 \right) \cdot \left( 3x-5 \right) \cdot \left( x+4 \right) = 6x^3+23x^2-19x-60 $$This page was created using
Polynomial From Roots Calculator