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Answer:

  • Number 1 - 3 terms (B)
  • Number 2 - 2nd and 3rd options

Number 1 Explanation:

  • Terms are separated by addition or subtraction signs.
  • There are three parts separated by two addition/subtraction signs.
  • That means there are three terms.

Number 2 Explanation:

  • Polynomials can't have negative exponents.
  • Polynomials can't have fractional exponents on variables or roots of variables.
  • For the first option, [tex]\frac{1}{x}[/tex] can also be written as [tex]x^{-1}[/tex], so it has a negative exponent and is not a polynomial.
  • The second and third options follow polynomial rules.
  • The fourth option has [tex]x^{\frac{1}{2} }[/tex], which is the same thing as [tex]\sqrt{x}[/tex]. Polynomials can't have roots of variables (or fractional exponents on variables), so this isn't a polynomial.
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