Q1 of 41 Page 30

Factorise.

p2 – 7p – 44

On comparing with standard quadratic equation that is

we have,


a = 1, b = – 7 and c = – 44


Now here,


Product a × c = 1 × – 44 = – 44


Factors of 44; 1 × 44; 2 × 22;4 × 11


Sum should be b = – 7


From above factors ( – 11p + 4p)


will give – 7p sum


therefore – 7p is replaced by ( – 11p + 4p)


Now above eq. becomes



; taking p and + 4 common


(p + 4)(p – 11)


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