Question
Find the polynomial having roots at $ -4 $ , $ 2 $ , $ 1 $ and $ \dfrac{ 83 }{ 25 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 25x^4-58x^3-333x^2+1030x-664 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -4 $ | $ x+4 $ |
| $ 2 $ | $ x-2 $ |
| $ 1 $ | $ x-1 $ |
| $ \dfrac{ 83 }{ 25 } $ | $ 25x-83 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+4 \right) \cdot \left( x-2 \right) \cdot \left( x-1 \right) \cdot \left( 25x-83 \right) = 25x^4-58x^3-333x^2+1030x-664 $$This page was created using
Polynomial From Roots Calculator