can be solved by factoring. Which of the following is the factored form?(1 point)
Responses
(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
left parenthesis x plus 4 right parenthesis left parenthesis x plus 8 right parenthesis equals 0
(x+4)(x−8)=0
left parenthesis x plus 4 right parenthesis left parenthesis x minus 8 right parenthesis equals 0
1 answer
To solve the quadratic equation \( x^2 + 4x - 32 = 0 \) by factoring, we need to find two numbers that multiply to \(-32\) (the constant term) and add up to \(4\) (the coefficient of the \(x\) term).
The factors of \(-32\) that add up to \(4\) are \(8\) and \(-4\), because:
Thus, the factored form of the quadratic equation is: \[ (x + 8)(x - 4) = 0 \]
So, the correct response is: \((x+8)(x−4)=0\)
