SAT Math Multiple Choice Question 266: Answer and Explanation

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Question: 266

11. Given the polynomial 6x4 + 2x2 - 8x - c, where c is a constant, for what value of c will have no remainder?

  • A. -120
  • B. -60
  • C. 60
  • D. 120

Correct Answer: D



Difficulty: Hard

Category: Passport to Advanced Math / Exponents

Strategic Advice: Don't bother with trial and error; it will take far too long. Use polynomial long division and your reasoning skills instead.

Getting to the Answer: Use long division to divide the two expressions. Don't forget to fill in 0 as a placeholder for the missing x3 term.

To make sure there is no remainder, c would have to be 120.

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