Question

What polynomial should be subtracted from the polynomial y2–5y+1 to get the difference equal to: 0

please show work

Answer 1

y^2-5y+1

Explanation:

If you have y^2-5y+1 and you need to subtract something from it to get 0, try it in parts. y^2-y^2=0, -5y+5y=0, 1-1=0. Remember that you are subtracting, so the y^2, the 5y, and the -1 you got are not the actual answers. Since the - in the parenthesis changes the signs, you need the remember to change the signs on the numbers you subtracted from the original numbers. So you get y^2. -5y, and 1. Put them together in a equation, and that's your answer.

Answer 2

y = 5 or y = 0

Explanation:

Solve for y over the real numbers:

y^2 - 5 y = 0

Factor y from the left hand side:

y (y - 5) = 0

Split into two equations:

y - 5 = 0 or y = 0

Add 5 to both sides:

Answer: y = 5 or y = 0