Question
Find the polynomial having roots at $ 32 $ , $ 51 $ and $ 56 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3-139x^2+6280x-91392 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 32 $ | $ x-32 $ |
| $ 51 $ | $ x-51 $ |
| $ 56 $ | $ x-56 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-32 \right) \cdot \left( x-51 \right) \cdot \left( x-56 \right) = x^3-139x^2+6280x-91392 $$This page was created using
Polynomial From Roots Calculator