Question
Find the polynomial having roots at $ -\dfrac{ 27 }{ 2 } $ , $ 0 $ and $ \dfrac{ 31 }{ 2 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 4x^3-8x^2-837x $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -\dfrac{ 27 }{ 2 } $ | $ 2x+27 $ |
| $ 0 $ | $ x $ |
| $ \dfrac{ 31 }{ 2 } $ | $ 2x-31 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 2x+27 \right) \cdot x \cdot \left( 2x-31 \right) = 4x^3-8x^2-837x $$This page was created using
Polynomial From Roots Calculator