<PRE><B>Question 254719</B>
a) How many solutions can an equation whose form is (x-1)(x –2)(x – 3) = 0 have?
Ans: 3 ; x = 1,2,or 3
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b) Can you use the information you obtained in part a) and generalize how many maximum solutions you would expect in each of the following four cases? How? (Do NOT try to solve the following equations):
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Rule: The highest power term determines the number of solutions.
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i. x4 +x3+ x2+ x +x0 = 0
Ans: 4
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ii. x54 +x12 + x11 + x10 + 23 = 0
Ans: 54
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I think you can see the other oanswers.
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Cheers,
Stan H.
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iii. x99 +x98 +x97 + ….. + x3 + x2 + x1 + x0 = 0
iv. x34 + x32 + 1 = 0

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