Find the polynomial having roots at $ 16 $ , $ 8 $ , $ 47 $ and $ 2 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4-73x^3+1398x^2-8528x+12032 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 16 $ | $ x-16 $ |
| $ 8 $ | $ x-8 $ |
| $ 47 $ | $ x-47 $ |
| $ 2 $ | $ x-2 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-16 \right) \cdot \left( x-8 \right) \cdot \left( x-47 \right) \cdot \left( x-2 \right) = x^4-73x^3+1398x^2-8528x+12032 $$This page was created using
Polynomial From Roots Calculator