Question

ASAP PLZ HELP!!

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

A) 0
B)5
C)y^2
D)4y^2–y+7

Answer 1

Subtract each term from the polynomial until you find the matching polynomial.

Explanation:

Subtracting each answer option below yields the following polynomials:

A)
`y^2-5y+1-0= y^2-5y+1`

B)
`y^2-5y+1-5 = y^2-5y-4`

C)
`y^2-5y+1-y^2 = -5y+1`

D)
`y^2-5y+1 - (4y^2-y+7) \\y^2 -5y+1-4y^2+y-7\\-3y^2-4y-6`

Answer 2

A) y² - 5y + 1

B) y² - 5y - 4

C) - 5y + 1

D) - 3y² - 4y - 6

Explanation:

Let's call P the unkown polynomial and D the difference. In each case, the following must be true:

y² - 5y + 1 - P = D

A)

y² - 5y + 1 - P = 0

y² - 5y + 1 = P

B)

y² - 5y + 1 - P = 5

y² - 5y + 1 - 5 = P

y² - 5y - 4 = P

C)

y² - 5y + 1 - P = y²

y² - 5y + 1 - y² = P

- 5y + 1 = P

D)

y² - 5y + 1 - P = 4y² - y + 7

y² - 5y + 1 - 4y² + y - 7 = P

- 3y² - 4y - 6 = P