Mathematics formulas notes

Review NotesI. ALGEBRA1.1 Laws/ Properties of ExponentsE1.E5.E2.ifE6.ifE7.ifE8.E3.E9.ifE41.2 Laws/ Properties of RadicalsR1.R4.R2.R5.R3.R6.1.3 Special ProductS1.S5.S2.S6.S3.S7.S4.1.4 Factorization PatternsF1.F2.F3.F4.for any positive integerF5.for any positive odd integer1.5 Quadratic Equationa) General Form:wherecoefficient of the 2nd-degree termcoefficient of the 1st-degree termconstant termb) Quadratic Formulac) Sum of the Rootse) Nature of the Roots1. If2. If3. Ifd. Product of the Roots, then, then, thenandandand1.6 Remainder TheoremFor any constant , if a polynomialare real and unequal (or distinct).are real and equal.are complex and unequal.is divided by1, the remainderis equal to.1.7 Factor TheoremFor any polynomialand any number ,1.8 Ration and Proportiona) Notation for ratio:if and only ifis equal to zero.orb) Notation for proportion:c) Ifis a factor ofor, then1.d)2.3.4.5.3.4.orwhere:is equivalent to1.2.1.9 Variationa) Direct variationb) Inverse variationc) Joint variationconstant of proportionality1.10 Binomial Expansiona) Binomial TheoremB1.b) rth termB2.rth term =1.11 Arithmetic Progression (AP)a) Def: An arithmetic progression is a sequence of numbers such that successive numbers differ by a constantb) Formulas:A1.where1st termcommon differenceA2.nth or last termA3.number of t … Purchase document to see full attachment

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