Question

Factor the following expression in order to fill in the blanks below: . x^2-14x-32

Answer 1

The factored form of the expression
`x^2-14x-32` is (x + 16)(x - 2).

This expression is a quadratic equation of the form
`x^2 - 14x - 32 = 0`, where the constants are a=1, b=-14, and c=-32.

In order to factor this quadratic equation, we need to find two numbers that multiply to ac (-32) and add to b (-14).

In this case, the numbers are 16 and -2, since 16*(-2) = -32 and 16 + (-2) = -14.

Now, we can rewrite the quadratic equation as (x + 16)(x - 2) = 0.

This equation represents two possible solutions for x: x = -16 or x = 2.

Therefore, the factored form of the expression
`x^2 - 14x - 32` is (x + 16)(x - 2).