Answer:
answer C (y-8)
Step-by-step explanation:
The binomial (y - 2) is a factor of [tex]y^2-10y+16[/tex]
LEts factor [tex]y^2-10y+16[/tex] to find out other factor
Product is 16 and sum is -10
LEts find out two factors whose product is 16 and add upto -10
y-2 is a factor given already
so -2 is one of the factor
[tex]-2 * -8 = 16[/tex]
[tex]-2+(-8)=-10[/tex]
So factors are -2 and -8
[tex]y^2-10y+16[/tex]
[tex](y-2)(y-8)[/tex]
Hence other factor is (y-8)
