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The G.C.D of x³ + 5x² + 6x and x³ + 9x² + 14x = ?
- a)x² + 2
- b)(x + 2)(x + 2)
- c)x (x + 2)
- d)x2 (x + 2)
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The G.C.D of x³ + 5x² + 6x and x³ + 9x² + 14x = ?a...
Given expressions are:
x, 5x, 6x
x, 9x, 14x
To find the G.C.D of these expressions, we need to factorize them first:
x, 5x, 6x = x(1, 5, 6)
x, 9x, 14x = x(1, 9, 14)
Now, we can see that the only common factor among all the expressions is x. Therefore, the G.C.D is x times the G.C.D of the remaining factors.
So, the G.C.D of (1, 5, 6) and (1, 9, 14) is (1), which means the G.C.D of x, 5x, 6x and x, 9x, 14x is x(1) = x.
Hence, the correct answer is option (c) x(x+2).
x, 5x, 6x
x, 9x, 14x
To find the G.C.D of these expressions, we need to factorize them first:
x, 5x, 6x = x(1, 5, 6)
x, 9x, 14x = x(1, 9, 14)
Now, we can see that the only common factor among all the expressions is x. Therefore, the G.C.D is x times the G.C.D of the remaining factors.
So, the G.C.D of (1, 5, 6) and (1, 9, 14) is (1), which means the G.C.D of x, 5x, 6x and x, 9x, 14x is x(1) = x.
Hence, the correct answer is option (c) x(x+2).
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Community Answer
The G.C.D of x³ + 5x² + 6x and x³ + 9x² + 14x = ?a...
X3+5x2+6x
can be written as
x(x2+5x+6) by taking x common
and
x3 + 9x2 + 14x
can be written as
x(x2 + 9x + 14)
and
here for instance x is the smallest root for this two equations in common so the option
(C) & (D) fits in
also no other X is common hence only
(C) is the correct option
can be written as
x(x2+5x+6) by taking x common
and
x3 + 9x2 + 14x
can be written as
x(x2 + 9x + 14)
and
here for instance x is the smallest root for this two equations in common so the option
(C) & (D) fits in
also no other X is common hence only
(C) is the correct option
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The G.C.D of x³ + 5x² + 6x and x³ + 9x² + 14x = ?a)x² + 2b)(x + 2)(x + 2)c)x (x + 2)d)x2 (x + 2)Correct answer is option 'C'. Can you explain this answer?
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