Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

What is the quotient of (x38)÷(x2)(x^3 - 8) \div (x - 2)?

  • A

    x2+2x4x^2 + 2x - 4

  • B

    x22x+4x^2 - 2x + 4

  • C

    x2+2x+4x^2 + 2x + 4

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  • D

    x2+4x^2 + 4

Explanation

x38=(x2)(x2+2x+4)x^3 - 8 = (x-2)(x^2 + 2x + 4) by difference of cubes. Quotient is x2+2x+4x^2 + 2x + 4.

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