19raeanderson97 19raeanderson97
  • 12-05-2020
  • Mathematics
contestada

The binomial (y − 2) is a factor of y2 − 10y + 16. What is the other factor? (y − 5) (y + 5) (y − 8) (y + 8)

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aaliyah803
aaliyah803 aaliyah803
  • 12-05-2020
y2 - 10y + 16
( y - 2)( y - 8 )

y • y = y2
-2 + ( -8 ) = -10
-2 • -8 = 6

= y2 - 10y + 16

to clarify your other factor is ( y - 8 )
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devishri1977
devishri1977 devishri1977
  • 12-05-2020

Answer:

The other factor is (y - 8)

Step-by-step explanation:

y² - 10y + 16

Sum =  -10

Product  = 16

Factors = (-8) ; (-2)

y² - 10y +16 = y² - 8y  -2y + (-8)*(-2)

                  = y(y - 8) - 2(y - 8)

                 = (y - 8) (y - 2)

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