Find the polynomial having roots at $ 23 $ , $ 4 $ , $ 6 $ and $ 18 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4-51x^3+848x^2-5124x+9936 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 23 $ | $ x-23 $ |
| $ 4 $ | $ x-4 $ |
| $ 6 $ | $ x-6 $ |
| $ 18 $ | $ x-18 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-23 \right) \cdot \left( x-4 \right) \cdot \left( x-6 \right) \cdot \left( x-18 \right) = x^4-51x^3+848x^2-5124x+9936 $$This page was created using
Polynomial From Roots Calculator