Consider polynomial function f (x) = (x + 1) (x-2) (x-3).

(a) Find all zeros.

(b) The zeroes divide R into a few open intervals. Find sign of f (x) for x in each

interval.

Question

Mathematics

Linda Lozano

16 April, 03:19

Consider polynomial function f (x) = (x + 1) (x-2) (x-3).

(a) Find all zeros.

(b) The zeroes divide R into a few open intervals. Find sign of f (x) for x in each

interval.

+3

Answers (1)

Know the Answer?

Amy Lucas · Answer 1

A) f (x) = 0 x = - 1 or x = 2 or x = 3;

b) x∈ (-oo, - 1) = > f (x) < 0;

x∈ (-1, 2) = > f (x) > 0;

x∈ (2, 3) = > f (x) < 0;

x∈ (3, + oo) = > f (x) > 0;

Consider polynomial function f (x) = (x + 1) (x-2) (x-3).(a) Find all zeros.(b) The zeroes divide R into a few open intervals. Find sign of f (x) for x in eachinterval.

Consider polynomial function f (x) = (x + 1) (x-2) (x-3).

(a) Find all zeros.

(b) The zeroes divide R into a few open intervals. Find sign of f (x) for x in each

interval.