Question
Find the polynomial having roots at $ 5 $ , $ -13 $ and $ -13 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3+21x^2+39x-845 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 5 $ | $ x-5 $ |
| $ -13 $ | $ x+13 $ |
| $ -13 $ | $ x+13 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-5 \right) \cdot \left( x+13 \right) \cdot \left( x+13 \right) = x^3+21x^2+39x-845 $$This page was created using
Polynomial From Roots Calculator