MCQ Academy - English

Decompose (3*x + 30)/((x + 6)(x + 8)) into partial fractions.

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

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

• 1/(x + 4)
• 2/(x + 6) – -1/(x + 4)
• -1/(x + 4) + 2/(x + 6)
• 2/(x + 4) + -1/(x + 6)

Decompose (3*x + 5)/((x + 1)(x + 2)) into partial fractions.

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

Decompose (5*x + 11)/((x + 2)(x + 3)) into partial fractions.

• 1/(x + 3) – 4/(x + 2)
• 5/(x + 2)
• 1/(x + 2) + 4/(x + 3)
• 4/(x + 2) + 1/(x + 3)

Decompose (-6*x – 40)/((x + 6)(x + 8)) into partial fractions.

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

Decompose (4*x + 14)/((x + 2)(x + 8)) into partial fractions.

• 3/(x + 2) + 1/(x + 8)
• 1/(x + 8) – 3/(x + 2)
• 1/(x + 2) + 3/(x + 8)
• 4/(x + 2)

Decompose (x + 15)/((x + 3)(x + 5)) into partial fractions.

• -5/(x + 3) + 6/(x + 5)
• 1/(x + 3)
• 6/(x + 3) + -5/(x + 5)
• 6/(x + 5) – -5/(x + 3)

Decompose (-2*x – 6)/((x + 4)(x + 5)) into partial fractions.

• 2/(x + 4) + -4/(x + 5)
• -2/(x + 4)
• 2/(x + 5) – -4/(x + 4)
• -4/(x + 4) + 2/(x + 5)

Decompose (7*x + 26)/((x + 2)(x + 4)) into partial fractions.

• 1/(x + 2) + 6/(x + 4)
• 6/(x + 2) + 1/(x + 4)
• 6/(x + 4) – 1/(x + 2)
• 7/(x + 2)

Decompose (7*x + 47)/((x + 5)(x + 8)) into partial fractions.

• 4/(x + 8) – 3/(x + 5)
• 7/(x + 5)
• 3/(x + 5) + 4/(x + 8)
• 4/(x + 5) + 3/(x + 8)

Decompose (-5*x – 37)/((x + 7)(x + 8)) into partial fractions.

• -5/(x + 7)
• -3/(x + 7) + -2/(x + 8)
• -2/(x + 8) – -3/(x + 7)
• -2/(x + 7) + -3/(x + 8)

Decompose (2*x + 4)/((x + 5)(x + 7)) into partial fractions.

• -3/(x + 5) + 5/(x + 7)
• -3/(x + 7) – 5/(x + 5)
• 5/(x + 5) + -3/(x + 7)
• 2/(x + 5)

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