Maths-
SAT
Easy

Question

2x3 + 11x2 + 5x
Which of the following is NOT a factor of the polynomial above?

  1. x
  2. x + 5
  3. 2x + 1 
  4. 2x + 5

The correct answer is: 2x + 5


    2x3 + 11x2 + 5x = x(2x2 + 11x + 5)
    =x(2x2 + 10x + x + 5)
    = x(2x(x + 5) + 1(x + 5))
    = x((2x + 1)(x + 5))
    The factors of the given polynomial are
    x, 2x + 1 & 2x + 5.

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