Question

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

^=power

Answer 1

y^2 - 5y - 4

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