Nature of Roots (Sum and Product)Solving quadratic equations by factoring, such as the example at the right, is a well honed skill at this point in your mathematical career. But did you ever stop to notice how the roots of equations are related to the c…

Simplifying Complex Fractions (simplifying numerator and denominator)Method 2: This is one of two methods for simplifying complex fractions.To Simplify a Complex Fraction by Simplifying the Numerator and Denominator 1. Create one single fraction in the …

Construction Of An Angle Using A ProtractorLet us draw an angle ABC of 30° with the help of a protractor. To draw ∠ABC, first draw a ray BC on a paper. Now, place the protractor in such a way that the midpoint of the base line coincides with point B and…

DiscriminantThe discriminant is the name given to the expression that appears under the square root (radical) sign in the quadratic formula. The discriminant tells you about the “nature” of the roots of a quadratic equation given that a, b and c are rati…

Factoring with Higher PowersThis lesson will review the process of factoring when there are higher powers involved.Are there Common Factors?If a common factor exists, its removal may lead to an expression which is a more recognizable form. Factoring out …

Division of Rational (Fractional) ExpressionsSimply Put: The rule for dividing algebraic fractions is the same as the rule for dividing numerical fractions.Change the division sign to multiplication, flip the 2nd fraction ONLY, and then follow the steps …

Recognizing Complex FractionsA complex fraction is a fraction in which the numerator, denominator, or both, also contain fractions.If the complex fraction contains a variable, it is called a complex rational expression. The word “complex” in Complex Fra…

Multiplication of Rational (Fractional) ExpressionsSimply Put:The rule for multiplying algebraic fractions is the same as the rule for multiplying numerical fractions. Multiply the tops (numerators)AND Multiply the bottoms (denominators). Note: If possi…

A Summary of the Methods of Solving Quadratic EquationsQuadratic equations are of the form where a, b and c are real numbers and . Quadratic equations have two solutions. It is possible that one solution may repeat.Some quadratic equations can be solved…

What is the Median and Altitude of a TriangleA closed figure bounded by three line segments is called a triangle. It is a 3-sided polygon and is named as ‘ΔABC’. In the above figure: (a) Number of sides forming ΔABC are 3, i.e., AB, BC, and CA. (b) Numbe…