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