SAT Math Multiple Choice Question 756: Answer and Explanation

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Question: 756

6. 3x3 - 2x2 + 5

5x2 + x - 10

Which of the following is the sum of the two polynomials shown above?

  • A. 8x3 - 2x - 5
  • B. 3x3 - x2 - 5
  • C. 3x3 + 3x2 + x - 5
  • D. 8x5 - x3 - 5

Correct Answer: C

Explanation:

C

Advanced Mathematics (adding polynomials) MEDIUM

(3x3 - 2x2 + 5) + (5x2 + x - 10)

Distribute coefficients to eliminate parentheses:

3x3 - 2x2 + 5 + 5x2 + x - 10

Group like terms together:

3x3 - 2x2 + 5x2 + x + 5 - 10

Combine like terms:

3x3 + 3x2 + x - 5

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