Question

Please help!!!

Using long division, what is the quotient of this expression?
3x42x³-x-4
x²+2
OA. 3x²
3x - 4
OB. 3x² + 2x + x² + 2
O C.
3x² 2x
O D.
-
2x
3x² + 2x
- 6 +
-
- 5+
-
3x + 8
x² + 2
-
3x+6
x²+2
5x8
x² + 2
Rese

Answer 1

Here is the solution process:

3 x² - 2 x - 6

x² + 0x + 2 | 3 x⁴ - 2 x³ + 0 x² - x - 4

3 x⁴ + 0 x³ + 6 x²

- 2 x³ - 6 x² - x - 4

- 2 x³ + 0 x² - 4 x

- 6 x² + 3 x - 4

- 6 x² + 0 x - 12

3 x + 8

Long division:

• Standard:
  `\sf{3x^(2) -2x-6+(3x+8)/(x^(2) +2) \ \ \to \ \ \ Option \`
• Quotient: 3x² - 2x - 6
• Rest: 8 + 3x

Therefore, the correct option is "A".

Answer 2

Check the picture below.

notice, the dividend and divisor must be in descending order, and when one of the variables is "missing", is really not missing, it simply has a coefficient of 0.