Factorise.

p² – 2p – 35

On comparing with standard quadratic equation that is

we have,

a = 1, b = – 2 and c = – 35

Now here,

Product a × c = 1 × – 35 = – 35

Factors of 35; 1 × 35 and 7 × 5

Sum should be b = – 2

From above factors ( – 7p + 5p)

will give – 2p sum

therefore – 2p is replaced by ( – 7p + 5p)

Now above eq. becomes

; taking p and + 5 common

(p – 7)(p + 5)