Question
Find the polynomial having roots at $ 8 $ and $ -\dfrac{ 5 }{ 9 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 9x^2-67x-40 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 8 $ | $ x-8 $ |
| $ -\dfrac{ 5 }{ 9 } $ | $ 9x+5 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-8 \right) \cdot \left( 9x+5 \right) = 9x^2-67x-40 $$This page was created using
Polynomial From Roots Calculator