Question

Use long division to find the quotient below.

(8x) + 20x2 + 36) divide (2x+6)
A. 4x2 - 6x+6
B. 8x2 - 8x+6
C. 4x2 - 2x+6
D. 8x2 - 4x + 6

Answer 1

Given:

`8x^3+20x^2+36` divided by
`(2x+6)`.

To find:

The quotient by using long division method.

Solution:

We have,

Dividend =
`8x^3+20x^2+36`

Divisor =
`(2x+6)`

Using long division method we get

`\underline{2x+6}|\overline{8x^3+20x^2+0x+36}|\underline{4x^2-2x+6}`

`\underline{8x^3+24x^2}`

`-4x^2+0x` (After subtraction)

`\underline{-4x^2-12x}`

`12x+36` (After subtraction)

`\underline{12x+36}`

`\underline{\quad 0\quad }` (After subtraction)

The quotient is
`4x^2-2x+6`.

Therefore, the correct option is C.