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−4)(x−8)=0
left parenthesis x minus 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

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 \( x \)).

The numbers that satisfy these conditions are 8 and -4, because:

• \( 8 \times (-4) = -32 \)
• \( 8 + (-4) = 4 \)

Therefore, we can factor the equation as:

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

So the correct factored form is:

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

The correct response is: \((x + 8)(x - 4) = 0\)