consider the following polynomial -2a^3b^2+5ab^5+7b^4+8
This polynomial is in the form of:
-2a^3b^2 + 5ab^5 + 7b^4 + 8
It is a degree 3 polynomial in terms of "a" and a degree 5 polynomial in terms of "b".
The coefficients are:
-2 (for the term -2a^3b^2)
5 (for the term 5ab^5)
7 (for the term 7b^4)
8 (for the constant term)
The exponent of "a" is 3 in the term -2a^3b^2, and the exponent of "b" is 2.
The term -2a^3b^2 represents the product of -2, a cubed, and b squared.
The term 5ab^5 represents the product of 5, a, and b raised to the power of 5.
The term 7b^4 represents the product of 7 and b raised to the power of 4.
Lastly, the term 8 is a constant term, which does not include any variables.
Overall, this polynomial is a combination of terms that include various powers of "a" and "b", along with constant coefficients.