Algebra

Addition of Matrices

Addition of Matrices 150 150 SchoolTutoring Academy

Addition of matrices: If two matrices A and B are of  the same order mxn, then the sum A+B is of the same order mxn and contains the elements obtained…

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Framing a Quadratic Equation

Framing a Quadratic Equation 150 150 SchoolTutoring Academy

Quadratic equation: A quadratic equation is an equation with degree (highest power) 2. Example: i)                    x2 + 5x + 6 = 0; ii)                   x2 – x – 6 = 0.…

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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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