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What degree does x³ - x²y² - 8y²+ 2 have?

  • A.2
  • B.3
  • C.4
  • D.7

Answer: C

The degree of a polynomial is the highest total degree among its terms.

  • \( x^{3} \) → degree 3
  • \( -x^{2}y^{2} \) → degree \( 2 + 2 = 4 \)
  • \( -8y^{2} \) → degree 2
  • \( 2 \) → degree 0

The largest is 4. In a term with several variables the exponents are added, which is what puts \( x^{2}y^{2} \) above \( x^{3} \).

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