Question

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

The divisor is 2p – 2.
The dividend is 4p2 + 0p + 6.
The quotient is 2p + 2 + .
The remainder over the divisor is .
To check the answer, multiply 2p + 2 + times 4p2 + 0p + 6 and verify that it equals the divisor.

Answer 1

Divide: (4p^2 + 6) ÷ (2p − 2)

Long division gives quotient 2p + 2 and remainder 10, so
4p^2 + 6 = (2p − 2)(2p + 2) + 10,
and the result as a mixed expression is 2p + 2 + 10/(2p − 2).

True statements (pick three):
- The divisor is 2p − 2.
- The dividend is 4p^2 + 0p + 6.
- The quotient is 2p + 2 (and the full result is 2p + 2 + 10/(2p − 2)).