Question

A polynomial function can be written as (x + 2)(x + 3)(x − 5). What are the x-intercepts of the graph of this function?

(2, 0), (3, 0), (−5, 0)
(−2, 0), (−3, 0), (5, 0)
(2, 0), (3, 0), (5, 0)
(−2, 0), (−3, 0), (−5, 0)

Answer 1

(−2, 0), (−3, 0), (5, 0)

Explanation:

When using this form of the function to find the x-intercepts, simply invert the signs to get your answer.

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Answer 2

9514 1404 393

Answer:

(b) (−2, 0), (−3, 0), (5, 0)

Explanation:

The x-intercepts are the points where the factors are zero. The x-value will be the opposite of the constant in the binomial factor.

x+2 = 0 ⇒ x = -2

x+3 = 0 ⇒ x = -3

x-5 = 0 ⇒ x = 5

The x-intercepts are (−2, 0), (−3, 0), (5, 0).