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 –

Answer 1

Divide the leading terms: 8z^2 ÷ 2z = 4z, so the quotient starts with 4z. Multiply back: 4z·(2z) = 8z^2 and subtract, leaving 4z − 5. Now 4z ÷ 2z = 2, so the next step is to add +2 to the quotient.

So the correct next step is: 4z + 2 − (i.e., write 4z + 2).