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'll be happy to help you with your question.
To determine whether an expression is a polynomial, we need to check if the terms in the expression have non-negative integer exponents and all coefficients are real numbers.
Let's look at the given expression: 5x^3 + 2xy^4 + 6xy.
We can break it down into terms:
Term 1: 5x^3
Term 2: 2xy^4
Term 3: 6xy
All the exponents are non-negative integers, so that is good. However, we need to make sure that all the variables in each term have the same exponent.
In Term 1: 5x^3, the variable "x" has an exponent of 3.
In Term 2: 2xy^4, the variable "x" has an exponent of 1, and "y" has an exponent of 4.
In Term 3: 6xy, the variable "x" has an exponent of 1.
Since the variable "y" has different exponents in Term 2 and Term 3, the expression is not a polynomial.
If you're wondering about the degree of the polynomial, it is the highest power of a single variable in the expression. In this case, since the expression is not a polynomial, we cannot determine its degree.
I hope this helps! Let me know if you have any further questions.