Yes, ( y^3 ) is a polynomial. A polynomial is defined as a mathematical expression that consists of variables raised to non-negative integer powers, along with coefficients. In this case, ( y^3 ) has a single variable ( y ) raised to the power of 3, which is a non-negative integer. Thus, it fits the definition of a polynomial.
When it is of the form x3 + y3 or x3 - y3. x or y can have coefficients that are perfect cubes, or even ratios of perfect cubes eg x3 + (8/27)y3.
6y-y3 = 3
x3-y3
-y3 + 7y3
72
x-9+y3
When it is of the form x3 + y3 or x3 - y3. x or y can have coefficients that are perfect cubes, or even ratios of perfect cubes eg x3 + (8/27)y3.
6y-y3 = 3
x3-y3
-y3 + 7y3
72
27-y3 factored completely = 24
X2+Y3+15 All you can do is simplify it.
The coefficients of ( x^5 y^2 ) and ( x^4 y^3 ) depend on the specific polynomial or expression in which these terms appear. If you have a particular polynomial in mind, please provide it, and I can help identify the coefficients. Otherwise, in general terms, the coefficients are the numerical factors that multiply these variable terms within a given expression.
No
30
y times y times y (or y3)