Question
Factor the expression. \[ x^{2}-3 x-28 \] \( x^{2}-3 x-28=\square \) (Type your answer in factored
Ask by Tucker Huang. in the United States
Mar 11,2025
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Answer
\( x^{2}-3x-28 = (x-7)(x+4) \)
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To factor the expression \( x^2 - 3x - 28 \), we need to find two numbers that multiply to -28 (the constant term) and add to -3 (the coefficient of the linear term). The numbers -7 and 4 satisfy this, since -7 * 4 = -28 and -7 + 4 = -3. Thus, we can write the expression as: \[ x^2 - 3x - 28 = (x - 7)(x + 4) \] So, the factored form is \( (x - 7)(x + 4) \).