Answer: C
Explanation:
To factorize the equation x^2 - 14x + 48, we need to find two binomial factors that, when multiplied together, result in the given quadratic expression.
To factorize the quadratic equation, we look for two numbers that multiply to give the constant term (48) and add up to give the coefficient of the linear term (-14). In this case, the numbers are -6 and -8 since (-6) * (-8) = 48 and (-6) + (-8) = -14.
Now, we can rewrite the quadratic expression as follows:
x^2 - 14x + 48 = (x - 6)(x - 8)
Therefore, the factored form of the equation x^2 - 14x + 48 is (x - 6)(x - 8).