Q1 of 41 Page 30

Factorise.

x2 – 10x + 9

On comparing with standard quadratic equation that is

we have,0


a = 1, b = – 10 and c = 9


Now here,


Product ac = 19 = 9


Factors of 9; 19 and 33


Sum should be b = – 10


From above factors ( – 1x – 9x)


will give – 10x sum


therefore – 10x is replaced by ( – 1x – 9x)


Now above eq. becomes



; taking x and – 9 common


(x – 1)(x – 9)


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