Answer: 1) D 2) B
Step-by-step explanation:
1) The denominator cannot equal zero, Factor the denominator to find the zeros. n³ - 4n² + 3n = 0
n(n - 3)(n - 1) = 0
n=0 n-3=0 n-1=0
n=0 n=3 n=1
2) In order to be a rational expression, it must be in the form [tex]\dfrac{a}{b}[/tex] where both a and b are integers.
Since [tex]\sqrtb[/tex][tex]\sqrt b[/tex] is irrational and not an integer, then the expressions containing an irrational term after simplified cannot result in an integer.
Therefore, options (i) and (iv) are not rational expressions.
Option (iii) contains b as an exponent. Since there is no information about b, it could be a fraction, which means it could be an irrational number.
