Answer:
(x+7)(x-7)
The factors are -7 and 7
Explanation:
Given the function x²-49, to find the factors, we will factorise the expressed using the different of two square.
If a and b are two numbers, then based on difference of two square;
a²-b² = (a+b)(a-b)
Applying this to the function in question
x²-49
= x²-7²
= (x+7)(x-7)
The factors can be gotten by equating the function to zero according to factor theorem.
(x+7)(x-7) = 0
x+7 = 0 and x-7 = 0
x = -7 and 7