Question
Find the polynomial having roots at $ -13 $ and $ \dfrac{ 5 }{ 7 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 7x^2+86x-65 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -13 $ | $ x+13 $ |
| $ \dfrac{ 5 }{ 7 } $ | $ 7x-5 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+13 \right) \cdot \left( 7x-5 \right) = 7x^2+86x-65 $$This page was created using
Polynomial From Roots Calculator