Which of the following is the factor of f(x) = x $^{5}$ - 2x $^{4}$ + 3x $^{3}$ - 6x $^{2}$ - 4x + 8.

x - 2

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x + 2

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x - 3

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x + 3

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Solution

The correct option is A
x - 2

Use the reverse gear approach

Option (a) f(2) = 32 - 32 + 24 - 24 - 8 + 8 = 0

Option (b) f(-2) $\neq$ 0

Option (c) f(3) $\neq$ 0

Option (d) f(-3) $\neq$ 0

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lim x \to 2 \frac{x^{4} - 3 x + 2}{x^{5} - 4 x + 3} .

f (x) = x^{5} + 3 x^{3} + 4 x + 8

x

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