Pregunta
Factor the expression. \( x^{2}-3 x-28 \) \( x^{2}-3 x-28=\square \) (Type your answer in factored form.)
Ask by Garza Macdonald. in the United States
Mar 11,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\( x^{2}-3x-28 = (x-7)(x+4) \)
Solución
Factor the expression \( x^{2}-3x-28 \).
Factor the expression by following steps:
- step0: Factor:
\(x^{2}-3x-28\)
- step1: Rewrite the expression:
\(x^{2}+\left(4-7\right)x-28\)
- step2: Calculate:
\(x^{2}+4x-7x-28\)
- step3: Rewrite the expression:
\(x\times x+x\times 4-7x-7\times 4\)
- step4: Factor the expression:
\(x\left(x+4\right)-7\left(x+4\right)\)
- step5: Factor the expression:
\(\left(x-7\right)\left(x+4\right)\)
The factored form of the expression \(x^{2}-3x-28\) is \((x-7)(x+4)\).
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Simplifique esta solución Mind Expander
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 x-term). The numbers -7 and 4 fit the bill since \(-7 \times 4 = -28\) and \(-7 + 4 = -3\). Thus, the factored form of the expression is: \( x^{2}-3x-28 = (x-7)(x+4) \)
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