Pregunta
Factor the expression. \( x^{2}-12 x-28 \) \( x^{2}-12 x-28=\square \) (Type your answer in factored form.)
Ask by Nichols Edwards. in the United States
Mar 11,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( x^{2} - 12x - 28 = (x - 14)(x + 2) \)
Solución
1. We need to factor \( x^2 - 12x - 28 \).
2. Look for two numbers that multiply to \(-28\) (the constant term) and add to \(-12\) (the coefficient of \( x \)).
3. The two numbers are \(-14\) and \(2\) since:
\[
(-14) \times 2 = -28 \quad \text{and} \quad (-14) + 2 = -12.
\]
4. Therefore, we factor the quadratic as:
\[
x^2 - 12x - 28 = (x - 14)(x + 2).
\]
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Como
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Mind Expander
To factor the expression \( x^{2}-12x-28 \), we need to find two numbers that multiply to \(-28\) (the constant term) and add to \(-12\) (the coefficient of the linear term). The numbers that work are \(-14\) and \(2\). Thus, we can write: \[ x^{2}-12x-28 = (x - 14)(x + 2) \] So the factored form is \( (x - 14)(x + 2) \).

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