can some one please help figure this problem out
Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial.
5x^3+2xy^4+6xy
can someone please help me
Of course, I'd be happy to help you figure out if the given expression is a polynomial and determine its degree.
A polynomial expression consists of variables, coefficients (numbers), and only the operations of addition, subtraction, and multiplication. It is important to note that division by variables or negative exponents are not allowed in polynomials.
Now, let's examine the given expression: 5x^3 + 2xy^4 + 6xy.
This expression satisfies the criteria for being a polynomial since it consists of variables (x and y), coefficients (5, 2, and 6), and the operations of addition and multiplication.
To determine the degree of a polynomial, we need to find the highest power of the variable within the expression.
In this case, the highest power of x is 3 (from the term 5x^3), and the highest power of y is 4 (from the term 2xy^4).
The degree of a polynomial is the sum of the exponents of the highest power terms of each variable. Therefore, the degree of the given polynomial expression 5x^3 + 2xy^4 + 6xy is 3 + 4 = 7.