Answer: E - The intersection point of the function with x − axis is the point (2,0). Points on the x − axis have a y − coordinate equal to zero. Solve 0 = x2 + 6x − 16.x2 + 6x − 16 = x2 + 8x − 2x − 16 = x(x + 8) − 2(x + 8) = (x + 8)(x − 2)(x + 8)(x − 2) = 0x = − 8,x = 2The intersection points of the function with the x − axis are ( − 8,0) and (2,0).

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SAT Prep

Category - Math

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Which of the following is the intersection point of y = x² + 6x − 16 with the x − axis?

( − 2,0)
(8,0)
(0,2)
(0, − 16)
(2,0)

Explanation

Answer: E - The intersection point of the function with x − axis is the point (2,0). Points on the x − axis have a y − coordinate equal to zero. Solve 0 = x² + 6x − 16.
x² + 6x − 16 = x² + 8x − 2x − 16 = x(x + 8) − 2(x + 8) = (x + 8)(x − 2)
(x + 8)(x − 2) = 0
x = − 8,x = 2
The intersection points of the function with the x − axis are ( − 8,0) and (2,0).

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