Question

Factor p 2 - 8p - 20.
(p - 4)(p + 5)
(p + 10)(p - 2)
(p - 10)(p + 2)

Answer 1

(p - 10)(p+2) is your perfect answer

Answer 2

Answer: the correct option is

(C)
`(p-10)(p+2).`

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

`E=p^2-8p-20~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To factor the given expression, we need to find two integers with sum -8 and product -20.

The factorization of expression (i) is as follows :

`E\\\\=p^2-8p-20\\\\=p^2-10p+2p-20\\\\=p(p-10)+2(p-10)\\\\=(p-10)(p+2).`

Thus, the required factored form is
`(p-10)(p+2).`

Option (C) is CORRECT.