MCQ Academy - English

Decompose (6*x + 42)/((x + 5)(x + 8)) into partial fractions.

• 6/(x + 5)
• 2/(x + 5) + 4/(x + 8)
• 4/(x + 8) – 2/(x + 5)
• 4/(x + 5) + 2/(x + 8)

Decompose (4*x + 26)/((x + 6)(x + 8)) into partial fractions.

• 4/(x + 6)
• 1/(x + 8) – 3/(x + 6)
• 1/(x + 6) + 3/(x + 8)
• 3/(x + 6) + 1/(x + 8)

Decompose (-3*x – 20)/((x + 6)(x + 8)) into partial fractions.

• -3/(x + 6)
• -2/(x + 6) + -1/(x + 8)
• -1/(x + 8) – -2/(x + 6)
• -1/(x + 6) + -2/(x + 8)

Decompose (-2*x)/((x + 2)(x + 6)) into partial fractions.

• -2/(x + 2)
• 1/(x + 6) – -3/(x + 2)
• -3/(x + 2) + 1/(x + 6)
• 1/(x + 2) + -3/(x + 6)

Decompose (3*x – 4)/((x + 1)(x + 8)) into partial fractions.

• -1/(x + 8) – 4/(x + 1)
• 4/(x + 1) + -1/(x + 8)
• -1/(x + 1) + 4/(x + 8)
• 3/(x + 1)

Decompose (-8*x – 28)/((x + 1)(x + 6)) into partial fractions.

• -4/(x + 6) – -4/(x + 1)
• -8/(x + 1)
• -4/(x + 1) + -4/(x + 6)

If α+β=7 and αβ=4, find α^3+β^3.

• 41
• 427
• 259
• -20

If α+β=-7 and αβ=-10, find 1/α + 1/β.

• 7/9
• 10/7
• 7/10
• 17/10

If α+β=0 and αβ=1, find 1/α + 1/β.

• 1
• undefined
• 0

If α+β=6 and αβ=-1, find α^3+β^3.

• 17
• 234
• 198
• 38

If α+β=-8 and αβ=-9, find 1/α + 1/β.

• 17/9
• 8/9
• 9/8
• 1

If α+β=-6 and αβ=6, find α^3+β^3.

• -108
• 324
• 24
• -324

If α+β=-3 and αβ=5, find α^3+β^3.

• -72
• 18
• -1
• 170

If α+β=4 and αβ=2, find α^3+β^3.

• 40
• 12
• 88
• -16

If α+β=-5 and αβ=9, find 1/α + 1/β.

• -1/2
• -9/5
• -5/9
• 4/9

If α+β=2 and αβ=3, find α^3+β^3.

• 9
• 26
• -2
• -10

If α+β=-4 and αβ=7, find 1/α + 1/β.

• -4/7
• 3/7
• -7/4
• -1/2

If α+β=5 and αβ=6, find 1/α + 1/β.

• 5/6
• 11/6
• 6/5
• 5/7

If α+β=3 and αβ=6, find α^3+β^3.

• -3
• -27
• 162
• 81

If α+β=2 and αβ=9, find α^3+β^3.

• 675
• 62
• -46
• -14