Q1 of 41 Page 30

Factorise.

44x2 – x – 3

On comparing with standard quadratic equation that is

we have,


a = 44, b = – 1 and c = – 3


Now here,


Product a × c = – 132 = 44 × – 3


Factors of 132; 1 × 132; 2 × 66; 4 × 33;12 × 11


Sum should be b = – 1


From above factors ( – 12x – 11x)


will give – 1x sum


therefore – 1x is replaced by ( – 12x – 11x)


Now above eq. becomes



; taking x and – 9 common


(11x – 3)(4x – 1)


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