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RUDIKE [14]
3 years ago
6

Consider the rational expression x2+6x−2/6x−5 .

Mathematics
2 answers:
pychu [463]3 years ago
8 0

Answer:

Correct choices are C, D and E

Step-by-step explanation:

Consider expression \dfrac{x^2+6x-2}{6x-5}.

Note that numerator x^2+6x-2 consists of three terms: x^2,\ 6x,\ -2 and the denominator 6x-5 consists of two terms: 6x,\ -5.

A. False option.

The term in the numerator and in the denominator can be divided out, if both numerator and denominator are factored. Since 6x is a term in numerator and denominator and is not a factor, then it cannot be divided out.

B. False option.

The numerator is quadratic trinomial. Each quadratic trinomial has at most 2 factors. Since 3>2, then the numerator cannot have three factors.

C. True option, because three terms of the numerator are x^2,\ 6x,\ -2.

D. True option, because two terms of the denominator are 6x,\ -5.

E. True option. The linear polynomial is always single factor.


DaniilM [7]3 years ago
3 0

Answer:

The last three terms are true.

Step-by-step explanation:

The last three statements are true.  Yes, the numerator has 3 terms:  x^2 + 6x - 2.  Yes, the denominator has 2 terms:  6x - 5.  Yes, that denominator is a single factor.

No, the numerator does not have three factors.  It does, however, have three terms.  No, 6x in the numerator does not cancel out the 6x in the denominator.

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