Question

The height of the parallelogram, h, can be found by dividing the area by the length of the base.



If the area of the parallelogram is represented by 4x2 – 2x + 5 and the base is 2x – 6, which represents the height?

2x + 5 +
2x – 7 –
2x – 7 +
2x + 5 –

Answer 1

Divide: (4x^2 − 2x + 5) ÷ (2x − 6).

4x^2 ÷ 2x = 2x → 2x(2x − 6) = 4x^2 − 12x
Subtract: (−2x) − (−12x) = 10x; bring down +5

10x ÷ 2x = 5 → 5(2x − 6) = 10x − 30
Subtract: 5 − (−30) = 35 (remainder)

So height = 2x + 5 + 35/(2x − 6). (Domain: x ≠ 3.)

Matches the option "2x + 5 +".