Fill in the blanks: 1. By the method of ". .." we can translate any rational function into a polynomial and fractions each one with negative powers of just one factor (x-a). 2. A 3. 4. function is defined as the proportion of two polynomials in the form of P(x)/Q(x), where P (x) and Q(x) are polynomials in x and Q(x) = 0. If the degree of P(x) is less than the degree of Q(x), then the rational function is known as The improper rational functions can be abridged to the proper rational functions by .. procedure. 5. Each polynomial can be factored into. 6. The degree of the numerator must be.. 7. factors. than the degree of the denominator. The partial fraction theorem permits us to integrate P(X)/Q(x); we are required only to integrate the polynomial D(x) and the different. powers appearing in this sum.