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In the coordinate plane, for which of the following values of x would
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23 Dec 2022, 11:08
23 Dec 2022, 11:08
Expert Reply
00:00
Question Stats:
80% (01:24) correct
20% (01:15) wrong based on 20 sessions
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In the coordinate plane, for which of the following values of x would the graph of the equation \(y = x^3 - x^2 - 6x\) touch the x axis?
(A) 2
(B) -3
(C) -2
(D) 1
(E) 6
(A) 2
(B) -3
(C) -2
(D) 1
(E) 6
Re: In the coordinate plane, for which of the following values of x would
[#permalink]
26 Dec 2022, 05:00
26 Dec 2022, 05:00
Expert Reply
OE
In the coordinate plane, a line crosses the x-axis at values of x that return a y value of o. These points are known as the “roots” of the equation. To find the roots of the equation y = x^3 - x^2 - 6x, set y = 0 and factor the right side of the equation as follows:
0 = x^3-x^2-6 x
0 = x(x^2 - x - 6)
0 = x(x + 2) (x - 3)
Hence, y = 0 when x = 0, - 2, or 3. Only choice (C) matches one of these roots.
In the coordinate plane, a line crosses the x-axis at values of x that return a y value of o. These points are known as the “roots” of the equation. To find the roots of the equation y = x^3 - x^2 - 6x, set y = 0 and factor the right side of the equation as follows:
0 = x^3-x^2-6 x
0 = x(x^2 - x - 6)
0 = x(x + 2) (x - 3)
Hence, y = 0 when x = 0, - 2, or 3. Only choice (C) matches one of these roots.
gmatclubot
Re: In the coordinate plane, for which of the following values of x would [#permalink]
26 Dec 2022, 05:00
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