Question
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Factor the trinomial, or state that the trinom \( y^{2}-16 y+55 \) Select the correct choice below and, if nec A. \( y^{2}-16 y+55=\square \) B. The polynomial is prime.

Ask by Love Pena. in the United States
Mar 11,2025

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Answer

\( y^{2} - 16y + 55 = (y - 11)(y - 5) \)

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The Deep Dive

To factor the trinomial \( y^{2} - 16y + 55 \), we look for two numbers that multiply to 55 and add up to -16. The numbers -11 and -5 meet these criteria, giving us: \( y^{2} - 16y + 55 = (y - 11)(y - 5) \). Both factors are linear, and the trinomial is not prime. So the correct choice is: A. \( y^{2}-16y+55=(y-11)(y-5) \)

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