Question

Divide 4p²+6 by 2p–2. Which statements are true about the division?

SELECT THREE OPTIONS!



A) The divisor is 2p – 2.

B) The dividend is 4p² + 0p + 6.

C) The quotient is 2p+2+10/4p²+6.

D) The remainder over the divisor is 10/2p-2.

E) To check the answer, multiply 2p+2+10/2p-2 times 4p²+0p+6 and verify that it equals the divisor.

Answer 1

the answers are a, b & d

all work is shown

Answer 2

The correct options are A, B and D.

Explanation:

If division is defined as a/b, then a is dividend and b is divisor.

If we divide 4p²+6 by 2p-2, then the quotient is

`(4p^2+6)/(2p-2)`

Here,

`Dividend=4p^2+6=4p^2+0p+6`

`Divisor=2p-2`

Therefore options A and B are correct, and C is incorrect.

Using long division method.

`(4p^2+6)/(2p-2)=2p+2+(10)/(2p-2)`

Here, quotient is (2p+2) and remainder is 10.

`(Remainder)/(Divisor)=(10)/(2p-2)`

Option D is correct.

The formula for verification is:

`D=Q* V+R`

where, D is dividend, Q is quotient, V is divisor and R is remainder.

To check the answer, multiply (2p+2) and (2p-2), then add 10 and verify that it equals the dividend.

Option E is incorrect.