Ch 5

Question 1

Partial fractions

Answer 1

To express a single rational expression as a sum of two or more rational fractions, which are called partial fractions

Question 2

Conditional equation

Answer 2

Equation in which two algebraic expressions are equal for particular values of the variable

E.g, 2x=3 is true only if x=3/2

Question 3

Identity

Answer 3

It is an equation that holds good for all values of the variable.
E.g, ax+bx≡(a+b)x

Question 4

Rational fraction

Answer 4

The quotient of two polynomials (px/qx) where q(x)≠0, with no common factors, is called rational fraction

Question 5

Proper rational fractions

Answer 5

If the degree of the polynomial in the numerator is less than the degree of polynomial in denominator

Question 6

Improper rational fractions

Answer 6

If the degree of the polynomial in the numerator is greater than or equal to the degree of polynomial in denominator