Answer:
The numerator has two terms.
The denominator has three terms.
is a single factor in the numerator.
Step-by-step explanation:
We have the following rational expression :
In which
is the numerator and
is the denominator
In any mathematical expression the symbols ''+'' and ''-'' divide the expression into terms. For example :
has three terms :
1 , 2 and 3
For a polynomial P(x) a factor is any polinomial which divides evenly into P(x).
For example :
This means that If we divide by we obtain
If we divide by we obtain
We conclude that and are factors of the expression . The expression has two factors.
Let's evaluate the statements for this rational expression.
The numerator has two terms. This is actually true. The terms are and
The denominator has three factors. This is wrong. The degree of the denominator is two .This means that it can have at most two factors (real or imaginary).
The denominator has three terms. This is true. The terms are , and
is a single factor in the numerator. This is true because we can write the following expression :
and the expression will be a single factor.
in the numerator divides out with in the denominator. This is wrong. We can't forget about in the denominator If we want to make the division.