Question

If x = 15

find x 5 - 16 x 4 + 16 x 3 - 16 x 2 + 16 x  - 16 = ?

A 1 Correct Answer Incorrect Answer
B -3 Correct Answer Incorrect Answer
C -1 Correct Answer Incorrect Answer
D 3 Correct Answer Incorrect Answer

Solution

If x = 15 then 15 = x ⇒ x5 - 16 x4 + 16 x3 - 16 x2 + 16 x -16 ⇒ x5 - 15x4 - x4 + 15 x3 + x3 - 15 x2 - x2 + 15 x + x - 16 ⇒ x5 - x5 - x4 + x4 + x3 - x3 - x2 + x2 + 15 - 16 ⇒ -1

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