Question
Find the polynomial having roots at $ -16 $ and $ -15 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^2+31x+240 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -16 $ | $ x+16 $ |
| $ -15 $ | $ x+15 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+16 \right) \cdot \left( x+15 \right) = x^2+31x+240 $$This page was created using
Polynomial From Roots Calculator