Question

which of the following is not a factor of x¹⁷- x? (I) x²-1. (ii) x⁶-1. (iii) x⁴-1. x⁸ + 1. ​

Answer 1

Answer:

Remainder =2

3

−3×2

2

+4×2−4

=8−12+8−4=0

Hence x−2 is a factor.

2. Remainder=2(−1)

3

+4(−1)+6

=−2−4+6=0

Hence x+1 is a factor.

3. Ramainder =1

6

−1

5

+1

5

−1

3

+1

2

−1+1=1

Hence x−1 is not a factor.

∴ Statements 1 and 2 are correct.

Answer 2

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