Question

Factor p 2 - 2p - 24. (p - 3)(p + 8) (p + 6)(p - 4) (p - 6)(p + 4)

Answer 1

p^2-2p-24
p^2-6p+4p-24
p(p-6) +4(p-6)
(p+4)(p-6) is answer D

Answer 2

Answer:  The correct option is (C) $(p-6)(p+4).$

Step-by-step explanation:  We are given to factor the following quadratic expression :

$E=p^2-2p-24~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To factor the given expression, we need two integers with sum -2 and product -24. Those two integers are -6 and 4.

The factorization of expression (i) is as follows :

$E\\\\=p^2-2p-24\\\\=p^2-6p+4p-24\\\\=p(p-6)+4(p-6)\\\\=(p-6)(p+4).$

Thus, the required factored form of the given expression is $(p-6)(p+4).$

Option (C) is CORRECT.