Question

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)

Answer 1

the answer is c I hope this helps

Answer 2

answer C (y-8)

Explanation:

The binomial (y - 2) is a factor of
`y^2-10y+16`

LEts factor
`y^2-10y+16` 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

`-2 * -8 = 16`

`-2+(-8)=-10`

So factors are -2 and -8

`y^2-10y+16`

`(y-2)(y-8)`

Hence other factor is (y-8)