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Class IX Polynomials Q: If x=(5-√21)/2, the prove that (x^3+1/x^3 )-5(x^2+1/x^2 )+(x+1/x)=0 Previous Videos related to this chapter are mentioned in the below link: COMPLETE NCERT EXERCISE | 2.2: • COMPLETE NCERT EXERCISE | 2.2 COMPLETE NCERT EXERCISE | 2.3: • COMPLETE NCERT EXERCISE | 2.3 INTRODUCTION TO POLYNOMIALS: • INTRODUCTION TO POLYNOMIALS CONCEPT: REMAINDER THEOREM & FACTOR THEOREM: • CONCEPT: REMAINDER THEOREM & FACTOR THEOREM CONCEPT: SPLITTING THE MIDDLE TERM: • CONCEPT: SPLITTING THE MIDDLE TERM QUESTIONS BASED ON IDENTITY: • QUESTIONS BASED ON IDENTITY:(a±b)^3=a^3±3a... (a±b)^3=a^3±3a^2 b+3ab^2±b^3 "or " a^3±b^3±3ab(a±b) QUESTIONS BASED ON IDENTITY: • QUESTIONS BASED ON IDENTITY:a^3+b^3=(a+b)(... a^3+b^3=(a+b)(a^2-ab+b^2 ) a^3-b^3=(a-b)(a^2+ab+b^2 ) QUESTIONS BASED ON IDENTITY: • QUESTIONS BASED ON IDENTITY:a^3+b^3+c^3-3a... a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca) *If a+b+c=0 "or" a^2+b^2+c^2-ab-bc-ca=0 then a^3+b^3+c^3=3abc QUESTIONS BASED ON MIDDLE TERM SPLITTING: • QUESTIONS BASED ON MIDDLE TERM SPLITTING COMPLETE NCERT EXERCISE | 2.1: • COMPLETE NCERT EXERCISE | 2.1 CONCEPT: Zero of a Polynomial: • CONCEPT: Zero of a Polynomial Q: If a^2+b^2+c^2-ab-bc-ca=0. Prove that a=b=c: • Q: If a^2+b^2+c^2-ab-bc-ca=0. Prove that a... Q Prove that a^2+b^2+c^2-ab-bc-ca is always non negative for all value of a ,b &c: • Q Prove that a^2+b^2+c^2-ab-bc-ca is alway... Q Simplify: (x^3-3x^2-x)(x^2-3x+1): • Q Simplify: (x^3-3x^2-x)(x^2-3x+1) Q Prove that 2a^2+2b^2+2c^2-2ab-2bc-2ca=(a-b)^2+(b-c)^2+(c-a)^2: • Q Prove that 2a^2+2b^2+2c^2-2ab-2bc-2ca=(a... NCERT EXEMPLAR EXERCISE = 2.4 |ONE SHOT| • NCERT EXEMPLAR EXERCISE - 2.4 |ONE SHOT| Q: If x=(7-√45)/2, the prove that (x^3+1/x^3 )+(x+1/x)=7(x^2+1/x^3 ) • If 𝒙=(𝟕−√𝟒𝟓)/𝟐, the prove that (𝒙^𝟑+𝟏/𝒙^𝟑 ... #CBSE #ICSE #Boards #8th #9th #10th #Foundation #Competition #IIT #JEE #Advanced #Mains #NTSE #Olympiads #Exams #Examination #Achiever #Topper #Zenith #ZenithInstituteOfMathematics #InderSir #Ludhiana #ModelGram #BestMathsCoaching #BestTutorials #BestTuition #BestInLudhiana #MathTricks #VIII #IX #X #XI #XII #Important #Excellent #Question #Polynomials #SolutionsOfEquations #RemainderTheorem #FactorTheorem #SplittingTheMiddleTerm