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Which of the following are polynomials? Check all that apply.
A. x^-2+15x-3
B. -x^3+5x^2+7 sqrtx-1
C. 3/5x^4-18x^2+5-10/x^2
D. 4x^4-10
E. 5.3x^2+3x-2

Answers for ap3x are D and E

Respuesta :

Using the definition of polynomial, it is found that options D and E are polynomials.

D. [tex]4x^4 - 10[/tex]

E. [tex]15x^2 + 3x - 2[/tex]

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A polynomial of the nth degree is defined by the following equation:

[tex]p(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_2x^2 + a_1x^1 + a_0[/tex]

The exponents n are integers, and have to be non-negative.

  • In options A and C, there are negative exponents([tex]\frac{3}{5x^4} = \frac{3}{5}x^{-4})[/tex], and thus, they are not polynomials.
  • In option B, [tex]\sqrt{x} = x^{\frac{1}{2}}[/tex], that is, a fractional exponent, thus also not a polynomial.
  • In options D and E, the exponents are integers and non-negative, thus they are polynomials.

A similar problem is given at https://brainly.com/question/15446728

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