What is the expression in factored form? Please explain how you found this factored form.

Question

x^2 + 14x + 48

Answer 1

To find the expression in factored form, we need to factorize the given quadratic expression.

The factored form of a quadratic expression is written as (x + a)(x + b), where a and b are the roots of the quadratic equation.

In this case, we need to find two numbers whose sum is 14 and whose product is 48. After some trial and error or by applying the quadratic formula, we can determine that the roots of the equation are 6 and 8. Therefore, the factored form of the expression x^2 + 14x + 48 is (x + 6)(x + 8).