Determine if the expression 7x^3y^2+2y^4 is a polynomial or not. If it is a polynomial state the type and the segree of the ponlynomial

Drop Down 1:
Does NOT represent
Doese Represent
Drop Down 2:
Monomial
Bionomial
Trinomial
None of the above
Question:
WHAT ISTHE DEGREE

1 answer

The expression \( 7x^3y^2 + 2y^4 \) is a polynomial.

  1. Drop Down 1: It Does Represent a polynomial.
  2. Drop Down 2: It is a Binomial (since it has two terms).
  3. To determine the degree of the polynomial, we find the degree of each term:
    • The first term \( 7x^3y^2 \) has a degree of \( 3 + 2 = 5 \).
    • The second term \( 2y^4 \) has a degree of \( 4 \).

The degree of the polynomial is the highest degree of its terms, which in this case is \( 5 \).

Summary:

  • It Does Represent a polynomial.
  • It is a Binomial.
  • The degree of the polynomial is 5.