Fill in the blanks ∣∣∣4√(1x)−12∣∣∣−2/3=___.
If x+1x=3, calculate x2+1x2,x3+1x3 and x4+1x4.
Now in each of the pairs of polynomials given below, check whether the first is a factor of the second:
(i) x + 1, x3 − 1
(ii) x − 1, x3 + 1
(iii) x + 1, x3 + 1
(iv) x2 − 1, x4 − 1
(v) x − 1, x4 − 1
(vi) x + 1, x4 − 1
(vii) x − 2, x2 − 5x + 1
(viii) x + 2, x2 + 5x + 6
(ix)
(x) 1.3x − 2.6, x2 − 5x + 6