Mathematics

Types Of Polynomials(i) Based on degree : If degree of polynomial isExamples1.One  Linearx + 3, y – x + 2, √3x –32.TwoQuadratic2x2 –7, (frac{1}{3}^{2}}+^{2}}-2text{xy}), x2 +1+ 3y3.ThreeCubicx3 + 3x2 –7x+8, 2x2+5x3+7,4.Fourbi-quadraticx4 +…

Solving Quadratic Equations by Completing the SquareSolving quadratic equations by completing the square is overpowered by an “offspring” of this process, namely, the quadratic formula. The quadratic formula was derived by completing the…

Factorise A Polynomial By Splitting The Middle Term Example Problems With SolutionsType I: Factorization of Quadratic polynomials of the form x2 + bx + c. (i) In order to factorize x2 + bx + c we have to find numbers p and q such that p + q…

Solving Quadratic Equations with Complex RootsWhen the roots of a quadratic equation are imaginary, they always occur in conjugate pairs.A root of an equation is a solution of that equation. If a quadratic equation with real-number…

Logarithmic EquationsA logarithmic equation can be solved using the properties of logarithms along with the use of a common base.Properties of Logs: To solve most logarithmic equations: 1. Isolate the logarithmic expression. (you may need…

Solving Quadratic Equations by FactoringThis lesson will review the process of factoring as a method of solving quadratic equations.Def n: Quadratic equations are normally expressed as where a does not equal zero.Many of the simpler…

Review Factoring PolynomialsThis lesson will review the process of factoring, which is used when solving  equations and simplifying rational expressions.To factor polynomial expressions, there are several approaches that can be used to…

Recursive SequencesRecursion is the process of choosing a starting term and repeatedly applying the same process to each term to arrive at the following term. Recursion requires that you know the value of the term immediately before the…

Examining Graphs of Polynomial Equations of Higher DegreeGraphing polynomial functions of higher degree can be quite tedious if done by hand. Fortunately, the graphing calculator can be very helpful in providing us with graphs of these…

Division Of A Line Segment Into A Given RatioGiven a line segment AB, we want to divide it in the ratio m : n, where both m and n are positive integers. To help you to understand it, we shall take m = 3 and n = 2. Steps of Construction: 1.…