Answer:
1.
[tex]standard: \frac{24}{?x} \\ quotient: 0
\\ remainder: 72x[/tex]
2.
[tex]standard: 10y {}^{2} + \: \frac{1}{y} -6
\\ quotient: 10y {}^{2} - 6
\\ remainder: 2[/tex]
3.
[tex]standard: -2x {}^{4} + 5x- \: \frac{1}{x}
[tex]standard: -2x {}^{4} + 5x- \: \frac{1}{x} \\ quotient: -2x {}^{4} +5x
[tex]standard: -2x {}^{4} + 5x- \: \frac{1}{x} \\ quotient: -2x {}^{4} +5x \\ remainder: -5x[/tex]
4.
[tex]standard: 3y - \frac{6}{y} - 4 \\ quotient: 3y 4
[tex]standard: 3y - \frac{6}{y} - 4 \\ quotient: 3y 4 \\ remainder: 24y {}^{2} [/tex]
5.
[tex]standard:
[tex]standard: \frac{8xy {}^{3 } + 6y {}^{3} }{3x {}^{2} + y } +36x {}^{2} y - 8xy {}^{2} - 6y {}^{2}
[tex]standard: \frac{8xy {}^{3 } + 6y {}^{3} }{3x {}^{2} + y } +36x {}^{2} y - 8xy {}^{2} - 6y {}^{2} \\ quotient: 36yx {}^{2} - 8xy {}^{2} - 6y {}^{2}
[tex]standard: \frac{8xy {}^{3 } + 6y {}^{3} }{3x {}^{2} + y } +36x {}^{2} y - 8xy {}^{2} - 6y {}^{2} \\ quotient: 36yx {}^{2} - 8xy {}^{2} - 6y {}^{2} \\ remainder: 8xy {}^{3} + 6y {}^{3} [/tex]
Step-by-step explanation:
1.
Divide by long division:
3x+0x 72x
Divide using long division:
standard: 24
X
quotient: 0
remainder: 72x
2.
Divide by long division:
10y- 6
2y 20y+0y- 12y +2
20y
- 12y +2
-12y
2
Divide using long division:
standard: 10y2+-6
y
quotient: 10y 6
remainder: 2
3.
Divide by long division:
- 2x+5x
5x+0x - 10+0x+0x+2 5x+C
- 10
25 x- 5
25x
Divide using long division:
standard: -2x 5x-
X
quotient: -2x +5x
remainder: -5x
4.
Divide by long division:
- 4y+0 y +0 y - 12 y+16y+2 4y
12y
16 y+24y
16y
24y
Divide using long division:
6 A
standard: 3y 4
y
quotient: 3y 4
remainder: 24y
5.
Divide by long division:
36
3x+0x +y x\cãdt8 y +*\ctot 4 y +
108xy +3 6xy
- 24xy- 18xy
- 24xy- 8xy
- 18
- 18
Divide using long division:
standard:
8xy3+ 6y3 +36xy 8xy2 6y2
3x2+y
quotient: 36yx - 8xy - 6y4
remainder: 8xy3 6y3
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