guxnKMf bxwaux dI ivDI
do GwqI
bhupd ax²+bx+c, a¹0 dy
m`D pd nUM ivBwijq krn dI bdlvIN ivDI a
Aqy c dy guxnPl dy icMnH qy
inrBr krdI hY:-
(1) jykr a×c
Dnwqmk hovy:- jykr a×c dw guxnPl Dnwqmk hovy qwN x dy guxwNk ‘b’ qoN 1 G`t, qoN aultI
igxqI lYNdy hoey Aqy iehnwN dy nwl nwl sMiKAw 1 qoN is`DI igxqI Bwv: 1,2,3,…….
lYNdy hoey hyT ilKy Anuswr joVy bxwE:-
x dw guxNwk sMiKAw guxnPl
(a) b-1 1 (b-1)×1
(b) b-2 2 (b-2)×2
(c) b-3 3
(b-3)×3
(d) b-4 4 (b-4)×4
……… ……… ……….
……… …….. ………..
……… …….. ………..
ies qrwHN loVINdw joVw iehnwN joiVAwN iv`coN ie`k
joVw hY[ Bwv ieh ik ijs joVy dw guxnPl a×c dy brwbr hY, auh joVw hI loVINdw joVw hY[pRwpq joVy
iv`c dovyN sMiKAwvwN dy icMnH ‘b’ dy icMnH dy smwn hoxgy[
audwhrn:-
ie`Qy a×c dw guxnPl=2×6=12 (Dnwqmk) hY[m`D pd -7x iv`c ‘b’ dw guxwNk -7 hY[AsIN ‘b’ dy guxwNk 7 qoN ie`k
G`t 6 qoN aultI igxqI ilKdy hoey Aqy dUsry pwsy sMiKAw iv`c ie`k qoN is`DI
igxqI ilKdy hoey joVy bxwvwNgy[
x dw guxwNk sMiKAw guxnPl
6
× 1 =
6
ies iv`c qIjy joVy dw guxnPl
12 hY jo ik (a×c) dy
guxnPl dy brwbr hY[ies leI ieh loVINdw joVw hY Aqy ies dI hryk sMiKAw dw icMnH
m`D pd dy icMnH (irxwqmk) dy smwn hovygw[ Bwv ieh ik ieh sMiKAwvwN -4 Aqy -3
hoxgIAwN ijhnwN nUM joV ky m`D pd dw guxwNk -7 bxdw hY Aqy guxnPl 12 bxdw hY[
ies
qrwNH h`l :- 2x²-7x+6
= 2x(x-2)-3(x-2)
= (x-2)
(2x-3)
AiBAws leI pRSn
(1) x²-4x+3
(2) x²+6x+8
(3) y²+3y+2