The algebraic expression is of the form \(a{x^2} + bx + c\), where \(a \ne 0\) is called a quadratic polynomial. To factorise the quadratic polynomial of the type \({x^2} + bx + c\), we have to find the numbers say \(p\) and \(q\), such that \(p + q = b\) ...
Just as the name suggests, Direct Factoring consists in finding out the linear factors (i.e., factors of the form a x + b ) of a quadratic expression directly — mostly through heuristics such as inspection and trial-and-error. For example, to factorise the trinomial x 2 + 13 x + 36...
••••••sumandproductexpansion(x+p)(x+q)=x2+(p+q)x+pqperfectsquareexpansion(x+a)2=x2+2ax+a2Differenceoftwosquaresexpansion(x+a)(x-a)=x2-a2 •TheRHSofeachquadraticexpressionwhichhasbeenformedbyexpandingtheLHS.•TheLHSoftheidentitiescanbefactorisingtheRHS.9A.Removingcommon...