Problemas
Which of the following are factors of x+x^2 Choose all answers that apply: A x^2 B 1+x x
Solución
Edgarveterano · Tutor durante 11 años
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To determine which of the given options are factors of \( x + x^2 \), we need to factor the expression.<br /><br />First, let's rewrite the expression:<br />\[ x + x^2 = x(1 + x) \]<br /><br />Now, we can see that:<br />- \( x \) is a factor because it is a common factor in the expression.<br />- \( 1 + x \) is also a factor because it is the other factor in the factored form.<br /><br />Therefore, both \( x \) and \( 1 + x \) are factors of \( x + x^2 \).<br /><br />So, the correct answers are:<br />A. \( x^2 \)<br />B. \( 1 + x \)<br /><br />However, note that \( x^2 \) is not a factor of \( x + x^2 \); it is a term within the expression. The correct factors are \( x \) and \( 1 + x \).
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