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Which of the following is not a polynomial? a. 4x2 + 2x - 1 b. y + rac3y c. x3 - 1

Mathematics

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Here are the solutions to the multiple-choice questions:

Q1. Which one is not a polynomial?
A polynomial must have variables with non-negative integer exponents.

  • a. 4x2+2x−14x^2 + 2x - 1: Exponents are 2,1,02, 1, 0. This is a polynomial.
  • b. y+3y=y+3y−1y + \frac{3}{y} = y + 3y^{-1}: The exponent of yy in the second term is −1-1, which is not a non-negative integer. This is not a polynomial.
  • c. x3−1x^3 - 1: Exponents are 3,03, 0. This is a polynomial
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