Question
Find the polynomial having roots at $ 4 $ , $ 111 $ , $ 12 $ and $ 213 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4-340x^3+28875x^2-393840x+1134864 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 4 $ | $ x-4 $ |
| $ 111 $ | $ x-111 $ |
| $ 12 $ | $ x-12 $ |
| $ 213 $ | $ x-213 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-4 \right) \cdot \left( x-111 \right) \cdot \left( x-12 \right) \cdot \left( x-213 \right) = x^4-340x^3+28875x^2-393840x+1134864 $$This page was created using
Polynomial From Roots Calculator