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.