Answer :

1) The given expression 7x^4 + 5x^2 + x - 9 is a polynomial.

2) The given expression 7x^6 - 4x^3 + 1/x is a trinomial.

Step-by-step explanation:

1) 7x^4 + 5x^2 + x - 9

  • The number of terms in the above expression is 4.
  • An algebraic expression with more than 3 terms is known as polynomial.
  • The degree is the power of the x term in a expression
  • first term = 7x^4 has a degree of 4.
  • second term = 5x^2 has a degree of 2.
  • third term = x has a degree of 1.
  • fourth term = 9 is a constant term with no degree.

2) 7x^6 - 4x - 1/x

  • The number of terms in the above expression is 3.
  • An algebraic expression with 3 terms is known as trinomial.
  • first term = 7x^6 has a degree of 6.
  • second term = 4x has a degree of 1.
  • third term = 1/x has a degree of -1.

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