Algebra

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Rationalization of a Radical
Rationalization of a Radical 150 150 SchoolTutoring Academy

The process of multiplying a radical by another radical to get a rational number is called rationalization. Each radical is called the rationalizing factor or conjugate of the other. Rationalizing…

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Operations on Radicals
Operations on Radicals 150 150 SchoolTutoring Academy

A radical may be defined as a positive irrational number of the type , where the symbol  is called the radical sign, the index n is called the order of…

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Understanding Synthetic Division
Understanding Synthetic Division 150 150 SchoolTutoring Academy

Synthetic division is a shortcut method of polynomial long division in a special case of division by a linear factor, with fewer calculations and less writing. Below are the steps…

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Proportionality: Direct and Inverse
Proportionality: Direct and Inverse 150 150 SchoolTutoring Academy

Two quantities are said to be proportional if their ratio is constant. In other words, the two quantities are proportional if one of them is always the product of the…

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Composition of Functions
Composition of Functions 150 150 SchoolTutoring Academy

A function is a relation that assigns to each input value exactly one output value. A function can be defined as a rule that relates how one quantity depends on…

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Finding the Inverse of a Function
Finding the Inverse of a Function 150 150 SchoolTutoring Academy

Inverse of a function The word inverse comes from the word invert which means opposite, upside down. Let f and g be two functions such that function g is inverse…

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Introduction to Functions: Understanding Domain and Range
Introduction to Functions: Understanding Domain and Range 150 150 SchoolTutoring Academy

A function can be defined as a rule that relates how one quantity depends on other quantities. A function is a relationship between two variables. The first variable is called…

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Operations on Functions: Adding and Subtracting Functions
Operations on Functions: Adding and Subtracting Functions 150 150 SchoolTutoring Academy

A function is a relation that assigns to each input value exactly one output value. Like numbers and polynomials we can add, subtract, multiply and divide functions which results into…

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Laws of Logarithm
Laws of Logarithm 150 150 SchoolTutoring Academy

Laws, also called as rules, of logarithm are set of relations which enable us to write logarithmic expressions in different, yet equivalent, ways. Below are the most commonly used rules…

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Factoring Quadratic Equation
Factoring Quadratic Equation 150 150 SchoolTutoring Academy

A quadratic equation is a one-variable polynomial equation of the second degree whose general form is: ax2 + bx + c = 0, where a, b and c are constants…

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