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Question
Find the polynomial having roots at −1 , 6 and −6 .
Answer
The polynomial generated from the given zeros is: P(x)=x3+x2−36x−36
Explanation
Step 1: Turn the zeros into factors:
Zero | Factor |
−1 | x+1 |
6 | x−6 |
−6 | x+6 |
Step 2: Multiply the factors together:
P(x)=(x+1)⋅(x−6)⋅(x+6)=x3+x2−36x−36