Answer:
The factored form of given polynomial [tex]x^2-36[/tex] is [tex](x+6)(x-6)[/tex]
Step-by-step explanation:
Given : [tex]x^2-36[/tex]
We have to factorize the given polynomial completely.
Consider the given polynomial [tex]x^2-36[/tex]
Algebraic identity[tex](a^2-b^2)=(a+b)(a-b)[/tex]
Also 36 can be written as [tex]6^2[/tex]
Thus, [tex]x^2-36[/tex] is same as [tex]x^2-6^2[/tex]
Apply the identity stated above , we have,
[tex]x^2-6^2=(x+6)(x-6)[/tex]
Thus, the factored form of given polynomial [tex]x^2-36[/tex] is [tex](x+6)(x-6)[/tex]
