Find the polynomial having roots at $ 13 $ and $ 17 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^2-30x+221 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 13 $ | $ x-13 $ |
| $ 17 $ | $ x-17 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-13 \right) \cdot \left( x-17 \right) = x^2-30x+221 $$This page was created using
Polynomial From Roots Calculator