Question

Jeanie wrote the correct first step to divide 8z2 + 4z – 5 by 2z.



Which shows the next step?

4z + 2 –
4z2 + 2 –
4z2 + 2 –
4z + 2 –



Which expression shows the first step in dividing 5x + 3 by x?








Consider the division of 4h2 + 2h + 6 by 2h.







What are the values of A and B?

A = 2 and B = 1
A = 2h and B = 1
A = and B =
A = and B =



Fiona divided 3x2+5x-3 by 3x+2. The expression represents the remainder over the divisor.



What is the value of a?

-5
-1
1
5



What is the quotient?



4x2 + 15 +
4x + 15 +
4x2 + 15 +
4x + 15 +

Answer 1

I'll answer each part in order, with a short explanation.

1) Divide 8z^2 + 4z − 5 by 2z.
- After the first step (8z^2 ÷ 2z = 4z), the next quotient term is 2 (because 4z ÷ 2z = 2).
- So the quotient begins 4z + 2 and the remainder is −5.

Answer: 4z + 2 (with remainder −5).

2) First step in dividing 5x + 3 by x.
- 5x ÷ x = 5.

Answer: 5 (giving remainder 3, so the full result is 5 + 3/x).

3) Divide 4h^2 + 2h + 6 by 2h. What are A and B?
- 4h^2 ÷ 2h = 2h and 2h ÷ 2h = 1, remainder 6.

Answer: A = 2h and B = 1.

4) Fiona divided 3x^2 + 5x − 3 by 3x + 2. The remainder over the divisor is a/(3x+2). What is a?
- Long division gives quotient x + 1 and remainder −5.

Answer: a = −5.

5) What is the quotient (for the division in part 4)?
Answer: x + 1.