Find the polynomial having roots at $ \dfrac{ 13 }{ 5 } $ , $ 1 $ and $ 9 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 5x^3-63x^2+175x-117 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 13 }{ 5 } $ | $ 5x-13 $ |
| $ 1 $ | $ x-1 $ |
| $ 9 $ | $ x-9 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 5x-13 \right) \cdot \left( x-1 \right) \cdot \left( x-9 \right) = 5x^3-63x^2+175x-117 $$This page was created using
Polynomial From Roots Calculator