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Question
Find the polynomial having roots at −2 , 3 and −4 .
Answer
The polynomial generated from the given zeros is: P(x)=x3+3x2−10x−24
Explanation
Step 1: Turn the zeros into factors:
Zero | Factor |
−2 | x+2 |
3 | x−3 |
−4 | x+4 |
Step 2: Multiply the factors together:
P(x)=(x+2)⋅(x−3)⋅(x+4)=x3+3x2−10x−24