Question

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

Answer 1

-5y +1

Explanation:

Let the polynomial to be subtracted be represented by Q. Then you want ...

... (y^2 -5y +1) -Q = y^2

... (y^2 -5y +1) = y^2 +Q . . . . add Q

... (y^2 -5y +1) -y^2 = Q . . . . .subtract y^2

... -5y +1 = Q . . . . . . . . . . . . . simplify

The polynomial to be subtracted is -5y +1.