Question

Factor p 2 - 2p - 24.

Answer 1

p^2-2p-24
Two numbers that multiply to -24 and add to -2
-6, 4
(p-6)(p+4)

Check:
(p-6)(p+4)
p^2+4p-6p-24
p^2-2p-24
Hope this helps.

Answer 2

The factored form of the given equation
`p^2-2p-24` is
`\left(p+4\right)\left(p-6\right)`

Explanation:

Given : Equation
`p^2-2p-24`

We have to factorize the given equation
`p^2-2p-24`

Consider the given equation
`p^2-2p-24`

We can solve the given equation using middle term splitting method.

Split middle term in such a way that the product of its terms is the product of its remaining two terms.

-2p can be written as 4p - 6p

`p^2-2p-24` can be written as
`p^2-6p+4p-24`

Taking p common from first two term and 4 common from last two terms, we have,

`p(p-4)+4(p-6)`

Simplify, we have,

`\left(p+4\right)\left(p-6\right)`

Thus, The factored form of the given equation
`p^2-2p-24` is
`\left(p+4\right)\left(p-6\right)`