Question

Check x-2 is a factor of xcube -3x square +2x-1

Answer 1

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Answer 2

If x - 2 is a factor then f(x) = 0
x - 2 = 0
x = 2
If we substitute the value of x in x³ - 3x² + 2x - 1, then it becomes zero. If it is not equal to zero then it is not a factor

x³ - 3x² + 2x - 1
(2)³ - 3(2)² + 2(2) - 1
8 - 12 + 4 - 1
= - 1
It is not equal to zero
So x - 2 is not a factor x³ - 3x² + 2x - 1