Answer:
The factored form of the given equation [tex]p^2-2p-24[/tex] is [tex]\left(p+4\right)\left(p-6\right)[/tex]
Step-by-step explanation:
Given : Equation [tex]p^2-2p-24[/tex]
We have to factorize the given equation [tex]p^2-2p-24[/tex]
Consider the given equation [tex]p^2-2p-24[/tex]
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
[tex]p^2-2p-24[/tex] can be written as [tex]p^2-6p+4p-24[/tex]
Taking p common from first two term and 4 common from last two terms, we have,
[tex]p(p-4)+4(p-6)[/tex]
Simplify, we have,
[tex]\left(p+4\right)\left(p-6\right)[/tex]
Thus, The factored form of the given equation [tex]p^2-2p-24[/tex] is [tex]\left(p+4\right)\left(p-6\right)[/tex]
