can be solved by factoring. Which of the following is the factored form?(1 point)
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 plus 4 right parenthesis left parenthesis x plus 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
1 answer
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 two numbers that satisfy these conditions are \(8\) and \(-4\).
Therefore, the equation can be factored as: \[ (x + 8)(x - 4) = 0 \]
So, the correct factored form is: \[ (x + 8)(x - 4) = 0 \]
Looking at your choices, the correct response is: \((x + 8)(x - 4) = 0\).
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