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15 Jan 2018, 06:18
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
71% (01:53) correct
29%
(02:15)
wrong
based on 172
sessions
History
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Which of the following is equivalent to for all values of x for which both \(\frac{2x^2(x + 3) -2x -6}{x^2 + 2x - 3}\) expressions are defined?
(A) 2x^2 - 2
(B) 2x + 2
(C) x + 1
(D) 2x + 6
(E) x - 1
(A) 2x^2 - 2
(B) 2x + 2
(C) x + 1
(D) 2x + 6
(E) x - 1
15 Jan 2018, 08:25
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Bunuel
Which of the following is equivalent to for all values of x for which both \(\frac{2x^2(x + 3) -2x -6}{x^2 + 2x - 3}\) expressions are defined?
(A) 2x^2 - 2
(B) 2x + 2
(C) x + 1
(D) 2x + 6
(E) x - 1
(A) 2x^2 - 2
(B) 2x + 2
(C) x + 1
(D) 2x + 6
(E) x - 1
Substitution is going to be the best way here, but pick up smart number..
x as 0 does not give us a denominator as 0 and also eases out calculations..
all terms with x will become 0..
\(\frac{2x^2(x + 3) -2x -6}{x^2 + 2x - 3}=\frac{-6}{-3}=2\)
It is very clear looking at the choices, at first glance itself, that only B will leave 2 as answer
General Discussion
15 Jan 2018, 08:21
Kudos
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Bunuel
Which of the following is equivalent to for all values of x for which both \(\frac{2x^2(x + 3) -2x -6}{x^2 + 2x - 3}\) expressions are defined?
(A) 2x^2 - 2
(B) 2x + 2
(C) x + 1
(D) 2x + 6
(E) x - 1
(A) 2x^2 - 2
(B) 2x + 2
(C) x + 1
(D) 2x + 6
(E) x - 1
\(\frac{2x^2(x + 3) -2x -6}{x^2 + 2x - 3}\)
\(\frac{(2x^2-2)(x + 3)}{(x+3)*(x-1)}\)
\(\frac{(2x^2-2)}{(x-1)}\)
\(\frac{2(x^2-1)}{(x-1)}\)
\(\frac{2(x-1)(x+1)}{(x-1)}\)
\(2(x+1)\)
Answer: Option B
