AMC 10 Daily Practice Round 1

Complete problem set with solutions and individual problem pages

Problem 5 Easy

What is the minimum value of 3{{x}^{2}}+18x+264 in terms of x, which can be all real numbers?

  • A.

    224

  • B.

    237

  • C.

    243

  • D.

    246

  • E.

    264

Answer:B

3{{x}^{2}}+18x+264=3({{x}^{2}}+6x+9)+237

~~~~~~~~~~~~~~~~~~~~~~~~~~~~=3{{(x+3)}^{2}}+237

∴ the answer is 237.

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