ALGEBRA இயற்கணிதம் FACTORISING USING SYNTHETIC DIVISION

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Presentation transcript:

ALGEBRA இயற்கணிதம் FACTORISING USING SYNTHETIC DIVISION தொகுமுறை வகுத்தல் மூலம் காரணிபடுத்தல் www.Padasalai.Net M.MANIKANDAN, MATHS B.T.ASST

தொகுமுறை வகுத்தல் முறை POLYNOMIAL DIVISION பல்லுறுப்புக் கோவை வகுத்தல் SYNTHETIC DIVISION தொகுமுறை வகுத்தல் முறை LONG DIVISION நீள் வகுத்தல் முறை M.MANIKANDAN, MATHS B.T.ASST

Synthetic division P(x) is cubic polynomial,d(x) is linear polynomial Important notes P(x) is cubic polynomial,d(x) is linear polynomial Then q(X) will be a quadratic polynomial and r(X) will be a remainder If r(X) = zero, then d(X) is a factor of p(X) d(X) should be a linear polynomial q(X) ×d(X) +r(X)=p(X) M.MANIKANDAN, MATHS B.T.ASST

SYNTHETIC DIVISION தொகுமுறை வகுத்தல் P(X) வகுபடும் எண் d(X) வகுத்தி R(X) Q (X) ஈவு P(X) வகுபடும் எண் d(X) வகுத்தி மீதி M.MANIKANDAN, MATHS B.T.ASST

முப்படிபல்லுறுப்புக் கோவை காரணிகள் Factors of Cubic polynomial முப்படிபல்லுறுப்புக் கோவை காரணிகள் Factors of Cubic polynomial X+C X+a X+b M.MANIKANDAN, MATHS B.T.ASST

X-1 is a factor If a+b+c+d=0 x+1 is a factor If a+c=b+d Cubic polynomial steps to find first factor If a+b+c+d=0 X-1 is a factor If a+c=b+d x+1 is a factor If p(-2) =0 X+2 is a factor If p(2)is a factor X-2 is a factor M.MANIKANDAN, MATHS B.T.ASST

Thank you M.MANIKANDAN, MATHS B.T.ASST