Question
Find the polynomial having roots at $ 72 $ and $ 101 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^2-173x+7272 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 72 $ | $ x-72 $ |
| $ 101 $ | $ x-101 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-72 \right) \cdot \left( x-101 \right) = x^2-173x+7272 $$This page was created using
Polynomial From Roots Calculator