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ICSE Class 10 Answered

using remainder theorem factorise the following completely  3x^3 + 2x^2-19x +6
Asked by sheetaldo | 15 Jun, 2019, 05:09: PM
answered-by-expert Expert Answer
L e t space p left parenthesis x right parenthesis equals 3 x cubed plus 2 x squared minus 19 x plus 6 T a k e space x equals 2 p left parenthesis 2 right parenthesis equals 24 plus 8 minus 38 plus 6 equals 0 rightwards double arrow left parenthesis x minus 2 right parenthesis space i s space a space f a c t o r space o f space p left parenthesis x right parenthesis 3 x cubed plus 2 x squared minus 19 x plus 6 equals left parenthesis x minus 2 right parenthesis left parenthesis 3 x squared plus 8 x minus 3 right parenthesis equals left parenthesis x minus 2 right parenthesis left parenthesis 3 x squared plus 9 x minus x minus 3 right parenthesis equals left parenthesis x minus 2 right parenthesis left square bracket 3 x left parenthesis x plus 3 right parenthesis minus left parenthesis x plus 3 right parenthesis right square bracket equals left parenthesis x minus 2 right parenthesis left parenthesis x plus 3 right parenthesis left parenthesis 3 x minus 1 right parenthesis
Answered by Renu Varma | 16 Jun, 2019, 07:15: PM

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