Pergunta

Factor the expression completely. 8x^2-x Answer Attempt 1 out of 2 square
Solução

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SergioProfissional · Tutor por 6 anos
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To factor the expression \(8x^2 - x\) completely, we need to find the greatest common factor (GCF) of the terms in the expression.<br /><br />1. Identify the GCF of the coefficients and the variable terms:<br /> - The coefficients are 8 and -1. The GCF of 8 and -1 is 1.<br /> - The variable terms are \(x^2\) and \(x\). The GCF of \(x^2\) and \(x\) is \(x\).<br /><br />2. Factor out the GCF from each term:<br /> \[<br /> 8x^2 - x = x(8x) - x(1)<br /> \]<br /><br />3. Write the expression with the GCF factored out:<br /> \[<br /> 8x^2 - x = x(8x - 1)<br /> \]<br /><br />So, the completely factored form of the expression \(8x^2 - x\) is:<br />\[<br />\boxed{x(8x - 1)}<br />\]
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