Find the x-intercepts f(x)=(x+2)(x−8)(x−1).

Question

BlackTom AI · Accepted Answer

To find the x-intercepts of a function, we look for the points where the graph crosses the x-axis, i.e., where f(x) = 0. For the given polynomial f(x) = (x + 2)(x − 8)(x − 1), each factor contributes a root when set to zero.
First, set each factor equal to zero: x + 2 = 0 gives x = −2; x − 8 = 0 gives x = 8; x − 1 = 0 gives x = 1.
These x-values correspond to the intercepts on the x-axis, so the x-intercepts are at the coordinates where f(x) = 0: when x = −2, x = 8, and x = 1.
Thus, the intercept points are (-2, 0), (8, 0), and (1, 0).

ALGII141-027 4.8 Practice Problems

Find the x-intercepts f(x)=(x+2)(x−8)(x−1).

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