Question

The solutions to the equation x4 + 2x3 + 24 = 13x2 + 14x occur at x = –4, x = –2, x = 1, and x = 3. At what points does the graph of the function f(x) = x4 + 2x3 – 13x2 – 14x + 24 intersect the x-axis?

A) (0, –4), (0, –2), (0, 1) and (0, 3)
B) (0, 4), (0, 2), (0, –1) and (0, –3)
C) (–4, 0), (–2, 0), (1, 0), and (3, 0)
D) (4. 0), (2, 0), (–1, 0), and (–3, 0)

Answer 1

C. (–4, 0), (–2, 0), (1, 0), and (3, 0).

Explanation:

The points where the graph intersects the x axis have y coordinates of zero and the given x coordinates.

(–4, 0), (–2, 0), (1, 0), and (3, 0) is the answer.