Question
Find the polynomial having roots at $ 245 $ and $ 35 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^2-280x+8575 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 245 $ | $ x-245 $ |
| $ 35 $ | $ x-35 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-245 \right) \cdot \left( x-35 \right) = x^2-280x+8575 $$This page was created using
Polynomial From Roots Calculator