Maths-
SAT
Easy

Question

The polynomial p4 + 4p3 + 3p2 − 4p − 4 can be written as (p2 − 1)(p + 2)2 .What are all  of the roots of the polynomial?

  1. −2 and 1
  2. −2, 1, and 4
  3. −2, −1, and 1
  4. −1, 1, and 2

The correct answer is: −2, −1, and 1


    Given p4 + 4p3 + 3p2 – 4p – 4 can be written as
    (p2 -1)    (p + 2)2
    p2 -1 = 0           (p+2)2 = 0
    p2 = 1                p + 2 =0
    p = ±1                p = -2
    roots= -2, -1 and 1

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