1.

Factorize p²-9p-36........

Answer»

Answer:

p = -3 or 12

Step-by-step explanation:

p²- 9p -36 = 0

By splitting the middle term,

p²+ 3p -12p -36 = 0     [3p - 12p = -9p]

p (p+3) -12 (p+3) = 0     [taking common factors]

(p - 12) (p +3) = 0

(p - 12) = 0  ; else,  (p + 3) = 0

∴ p = 12 ; p = -3


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