Question
Find the polynomial having roots at $ 92 $ and $ 45 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^2-137x+4140 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 92 $ | $ x-92 $ |
| $ 45 $ | $ x-45 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-92 \right) \cdot \left( x-45 \right) = x^2-137x+4140 $$This page was created using
Polynomial From Roots Calculator