Question
Find the polynomial having roots at $ 16 $ , $ 37 $ , $ 18 $ and $ 19 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4-90x^3+2895x^2-40030x+202464 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 16 $ | $ x-16 $ |
| $ 37 $ | $ x-37 $ |
| $ 18 $ | $ x-18 $ |
| $ 19 $ | $ x-19 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-16 \right) \cdot \left( x-37 \right) \cdot \left( x-18 \right) \cdot \left( x-19 \right) = x^4-90x^3+2895x^2-40030x+202464 $$This page was created using
Polynomial From Roots Calculator