Final answer:
The degree, leading coefficient, and constant value of polynomials are determined by the highest power of x, the coefficient of the highest power term, and the term without an x respectively.
Step-by-step explanation:
a) The polynomial f(x) = 2x^2 - 8x - 6 is a quadratic polynomial because the highest power of x is 2. The degree of the polynomial is 2. The leading coefficient is 2, which is the coefficient of the term with the highest power of x. The constant value is -6, which is the term that doesn't have an x in it.
b) The polynomial h(x) = x^2 - 7x - x + 2 can be simplified to h(x) = x^2 - 8x + 2. It is a quadratic polynomial with a degree of 2. The leading coefficient is 1, which is the coefficient of the term with the highest power of x. The constant value is 2.
c) The polynomial g(x) = 5x^2 - 4x + 2x + 5.4 can be simplified to g(x) = 5x^2 - 2x + 5.4. It is also a quadratic polynomial with a degree of 2. The leading coefficient is 5, which is the coefficient of the term with the highest power of x. The constant value is 5.4.