SAT Math Multiple Choice Question 604: Answer and Explanation

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Question: 604

4. Which of the following expressions is equivalent to 2(x - 4)2 - 5x?

  • A. 2x2 - 21x + 32
  • B. 2x2 - 21x - 32
  • C. 2x2 - 13x + 32
  • D. 2x2 - 16x - 21

Correct Answer: A

Explanation:

A

Advanced Mathematics (polynomials) EASY

2(x - 4)2 - 5x

Factor:

2[(x - 4)(x - 4)] - 5x

FOIL:

2[x2 - 4x - 4x + 16] - 5x

Simplify:

2[x2 - 8x + 16] - 5x

Distribute:

2x2 - 16x + 32 - 5x

Combine like terms:

2x2 - 21x + 32

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