The binomial (y − 2) is a factor of y2 − 10y + 16. What is the other factor?

Factor the quadratic by finding two numbers that multiply to 16 and add to −10: −2 and −8. Thus y² − 10y + 16 = (y − 2)(y − 8). Since (y − 2) is already one factor, the other factor is (y − 8), choice C.

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