How many roots does the polynomial function, y = (x + 4)(x-2)(x+7) have? A. 3 B. 1 C. 2 D. A

Question

How many roots does the polynomial function, y = (x + 4)(x-2)(x+7) have?
A. 3
B. 1
C. 2
D. A

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Samantha 5 days 2021-09-12T04:37:52+00:00 1 Answer 0

Answers ( )

    0
    2021-09-12T04:39:11+00:00

    Answer:

    A. 3

    Step-by-step explanation:

    The polynomial y = (x + 4)(x – 2)(x + 7) has 3 roots.

    y = 0 ⇒ (x + 4)(x – 2)(x + 7) = 0 ⇔ x + 4 = 0 ∨ x – 2 = 0 ∨ x + 7 = 0

    x + 4 = 0   subtract 4 from both sides

    x = -4

    x – 2 = 0      add 2 to both sides

    x = 2

    x + 7 = 0      subtract 7 from both sides

    x = -7

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