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Question 11 (1 point) Which expression is a factor of x^2-2x-15 a x-1 b x-3 x-15 d x-5
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Ernestinaprofessionell · Tutor durante 6 años
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To determine which expression is a factor of \(x^2 - 2x - 15\), we need to factor the quadratic expression.<br /><br />The quadratic expression \(x^2 - 2x - 15\) can be factored by finding two numbers that multiply to \(-15\) and add up to \(-2\). These numbers are \(-5\) and \(3\).<br /><br />So, we can factor the quadratic expression as:<br />\[ x^2 - 2x - 15 = (x - 5)(x + 3) \]<br /><br />Therefore, the factors of \(x^2 - 2x - 15\) are \(x - 5\) and \(x + 3\).<br /><br />Among the given options, the correct factor is:<br />d) \(x - 5\)
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