The quadratic equation x2+4x−32=0 can be solved by factoring. Which of the following is the factored form?(1 point)

Question

Responses

(x+4)(x−8)=0
left parenthesis x plus 4 right parenthesis left parenthesis x minus 8 right parenthesis equals 0

(x+8)(x−4)=0
left parenthesis x plus 8 right parenthesis left parenthesis x minus 4 right parenthesis equals 0

(x−4)(x−8)=0
left parenthesis x minus 4 right parenthesis left parenthesis x minus 8 right parenthesis equals 0

(x+4)(x+8)=0

Answer 1

To factor the quadratic equation \( x^2 + 4x - 32 = 0 \), we need to find two numbers that multiply to \(-32\) (the constant term) and add to \(4\) (the coefficient of the linear term).

The factors of \(-32\) that sum to \(4\) are \(8\) and \(-4\).

Thus, we can factor the equation as follows:

\[ x^2 + 4x - 32 = (x + 8)(x - 4) = 0 \]

Therefore, the correct factored form of the equation is:

\[ (x + 8)(x - 4) = 0 \]

So, the answer is:

(x+8)(x−4)=0