Which of the following is a factor of the expression ((2x)^2)+1 ?
A) x+2
B) x-2
C) x+sqrt2
D) x-sqrt2
E) None of these
GMAT Question of the Day: Algebra
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My choice is E. none of these
x = -1/2 or x = 1/2
Hence E) None of these
E) None of these
E
E
E
Eb
E
Our expression is [(2x)^2]+1
= {sqrt(2x)}^4 + {1}^4
Therefore, T=sqrt(2x) and a=1 and the expression is of the form [T^4 + a^4]
Now, this is what a basic algebra book says about [T^n + a^n] :
1) It is never divisible by (T-a)
2) It is divisible by (T+a) ONLY when n is odd.
Now,
So, our expn. is not divisible by {T + a} or {T – a].
C and D are rules out.
A and B cannot be answers either.
So, ans is E.
Ans : E, None of these
x= +1/2 or -1/2
E
E
And also neither (x+1/2) nor (x-1/2) are factors.
According to Factor theorem if x+a is a factor of any expression R(x) then R(-a)=0.
which is not true any of the values given above.
E
And also neither (x+1/2) nor (x-1/2) are factors.
According to Factor theorem if x+a is a factor of any expression R(x) then R(-a)=0.
which is not true for any of the values given above.
E