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CBSE Class 9 Answered

factorise: x³+6x²+11x+6
Asked by shivalaxmi0205 | 15 Feb, 2023, 06:47: PM
answered-by-expert Expert Answer
f left parenthesis x right parenthesis equals x cubed plus 6 x squared plus 11 x plus 6
B y space f a c t o r space t h e o r e m comma
f left parenthesis negative 1 right parenthesis equals left parenthesis negative 1 right parenthesis cubed plus 6 left parenthesis negative 1 right parenthesis squared plus 11 left parenthesis negative 1 right parenthesis plus 6 equals negative 1 plus 6 minus 11 plus 6 equals 0
rightwards double arrow left parenthesis x plus 1 right parenthesis space i s space a space f a c t o r space o f space f left parenthesis x right parenthesis. space
 
O t h e r space f a c t o r space i s space x squared plus 5 x plus 6.
N o w comma space x squared plus 5 x plus 6 equals x squared plus 3 x plus 2 x plus 6
equals x left parenthesis x plus 3 right parenthesis plus 2 left parenthesis x plus 3 right parenthesis
equals left parenthesis x plus 3 right parenthesis left parenthesis x plus 2 right parenthesis
T h e r e f o r e comma
x cubed plus 6 x squared plus 11 x plus 6 equals left parenthesis x plus 1 right parenthesis left parenthesis x plus 2 right parenthesis left parenthesis x plus 3 right parenthesis
Answered by Rashmi Khot | 16 Feb, 2023, 03:42: PM
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