Which polynomial has a leading coefficient of 4 and a degree of 3?
A polynomial with a leading coefficient of 4 and a degree of 3 would be a cubic polynomial. The leading coefficient is the coefficient of the term with the highest power of the variable.
The most general form of such a polynomial would be:
\( f(x) = 4x^3 + ax^2 + bx + c \)
Here, \( a \), \( b \), and \( c \) are constants which can be any real numbers (including zero), but the coefficient of the highest degree term, \( x^3 \), is 4. The degree of the polynomial is determined by the highest power of \( x \) that has a non-zero coefficient, which in this case is 3.