hi my name is hedi and i am in serious need with help with some math problems dealing with polynomials can some one please help me?

Determine whether each expression is a polynomial. If it is a polynomial, state the degree of the polynomial. (This is the question)

1.5x^3+2xy6^4+6xy
2.-4/3ac-a^5d^3
3.12m^8n^9/(m-n)^2
4.six 6 c square root of a negative 2 plus c minus 1

Hi Hedi! I can definitely help you with your math problems dealing with polynomials. Let's go through each expression and determine whether it is a polynomial and find its degree if it is.

1. 5x^3 + 2xy6^4 + 6xy
To determine if this expression is a polynomial, we need to check if all the terms have non-negative integer exponents. In this case, the first term is 5x^3, which has a non-negative integer exponent, so it is a polynomial. To find its degree, we look for the term with the highest exponent. In this case, it is the term 5x^3, so the degree of this polynomial is 3.

2. -4/3ac - a^5d^3
Similar to the previous expression, we need to check if all the terms have non-negative integer exponents. In this case, both terms have variables with negative exponents (d^3 and a^5), so this expression is not a polynomial.

3. 12m^8n^9/(m-n)^2
Again, we need to check if all the terms have non-negative integer exponents. In this case, since the variable m is in the denominator with an exponent of 2, it is not a polynomial.

4. six 6c √(-2) + c - 1
I am assuming you mean √(-2) as the square root of -2.
This expression is not clear and difficult to interpret.

It seems like there might be a misunderstanding in expression 4. Please provide a clearer representation or let me know if there's something else I can assist you with.