Basic Algebra

is a branch of mathematics in which one expresses relations among quantities by using symbols to represent these quantities.

The distance of the number a belongs to R from 0 on the number line is called the of that number a.

A function of the form P(x) = ax² + bx + c, where a, b, c belongs to R are constants and a ≠ 0, is called a .

A polynomial with degree 1 is called a polynomial.

A polynomial with degree 2 is called a polynomial.

A polynomial is one that has degree three.

Suppose that f(x) and g(x) are polynomials where g(x) is not zero. The quotient f(x)/g(x) is called a .

Given two polynomials f(x) and g(x), where g(x) is not the zero polynomial, there exist two polynomials q(x) and r(x) such that f(x) = q(x)g(x)+r(x) where degree of r(x) < degree of g(x). Here, q(x) is called the polynomial, and r(x) is called the polynomial.

A real number a is said to be a zero of the polynomial f(x) if f(a)=0. If x = a is a zero of f(x), then x − a is a for f(x).

An equation is said to be an if that equation remains valid for all values in its domain.

An equation is called equation if it is true only for some (not all) of values in its domain.

aⁿ is called function with base a.

If a = 10, then the corresponding logarithmic function log10x is called the .

If degree of f(x) is less than the degree of g(x), then f(x)/g(x) can be written as sum of its .

In general exponential functions and logarithmic functions are functions to each other.

Basic Algebra

Gap-fill exercise