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Multiple Choice 10 points Which expression is equivalent to p^2-10p+21 3(p-2)(p+3) (p+8)(p+4) 6(p-4)(p+8) (p-7)(p-3)

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Multiple Choice 10 points
Which expression is equivalent to p^2-10p+21
3(p-2)(p+3)
(p+8)(p+4)
6(p-4)(p+8)
(p-7)(p-3)

Multiple Choice 10 points Which expression is equivalent to p^2-10p+21 3(p-2)(p+3) (p+8)(p+4) 6(p-4)(p+8) (p-7)(p-3)

Solución

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Miguelmaestro · Tutor durante 5 años
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To find the expression equivalent to $p^{2}-10p+21$, we need to factor the quadratic expression.<br /><br />The correct answer is $(p-7)(p-3)$.<br /><br />Explanation:<br />$(p-7)(p-3)$<br />$= p(p-3) - 7(p-3)$<br />$= p^2 - 3p - 7p + 21$<br />$= p^2 - 10p + 21$<br /><br />Therefore, the expression $(p-7)(p-3)$ is equivalent to $p^{2}-10p+21$.
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