Question
Find the degree and leading coefficient of the polynomial f(x) = 4x^4 + 5x^3 - 2x^2 + 7x - 3.
Answer
The degree of a polynomial is the highest exponent of the variable present in the polynomial. In this quartic polynomial, the degree is 4 since the highest exponent of x is 4.
The leading coefficient is the coefficient of the term with the highest degree, which is 4 in this case.
Therefore, the degree of f(x) is 4 and the leading coefficient is 4.