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.
