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

Question

asked Jul 17, 2018 222k views

2 Answers

Cavel · Answer 1 · 2018-07-22T04:10:48+0000

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.