The binomial (y − 2) is a factor of y^2 − 10y + 16. What is the other factor? a. (y − 5) b. (y + 5) c. (y − 8) d. (y + 8)

asked Apr 23, 2016 126k views

2 votes

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

a. (y − 5)
b. (y + 5)
c. (y − 8)
d. (y + 8)

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1 vote

Factor y-2 out of y²-10y+16:

$y^2-10y+16= \\ y^2-2y-8y+16= \\ y(y-2)-8(y-2)= \\ (y-8)(y-2)$

The other factor is c. (y-8).

Arti Singh answered Apr 29, 2016

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