Question
Find the polynomial having roots at $ 1 $ , $ 2 $ , $ 4 $ , $ 8 $ and $ 351092384 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^5-351092399x^4+5266385830x^3-24576467000x^2+42131086144x-22469912576 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 1 $ | $ x-1 $ |
| $ 2 $ | $ x-2 $ |
| $ 4 $ | $ x-4 $ |
| $ 8 $ | $ x-8 $ |
| $ 351092384 $ | $ x-351092384 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-1 \right) \cdot \left( x-2 \right) \cdot \left( x-4 \right) \cdot \left( x-8 \right) \cdot \left( x-351092384 \right) = x^5-351092399x^4+5266385830x^3-24576467000x^2+42131086144x-22469912576 $$This page was created using
Polynomial From Roots Calculator