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Question
Find the polynomial having roots at 0 and −205463 .
Answer
The polynomial generated from the given zeros is: P(x)=20x2+5463x
Explanation
Step 1: Turn the zeros into factors:
Zero | Factor |
0 | x |
−205463 | 20x+5463 |
Step 2: Multiply the factors together:
P(x)=x⋅(20x+5463)=20x2+5463x