What polynomial should be subtracted from the polynomial y^2-5y+1 to get the difference equal to: 5

^=power

y^2 - 5y - 4

Step-by-step explanation:

So you want f (y) such that

(y^2-5y+1) - f (y) = 5

Subtract both sides by (y^2-5y+1):

-f (y) = 5 - (y^2-5y+1)

-f (y) = - y^2 + 5y + 4

f (y) = y^2 - 5y - 4

So the polynomial you are looking for is y^2 - 5y - 4