Improper and Proper Partial Fraction Decomposition Practice

Find the partial fraction decomposition of the improper fraction (3x^2 + 5x + 7) / (x - 2)

• (3x^2 + 5x + 7) / (x - 2)

• (3x + 11) / (x - 2) - 1

• (3x^2 + 5x + 7) / (x + 2)

• (3x + 11) + 29 / (x - 2)

Determine the partial fraction decomposition of the improper fraction (4x + 9) / (x^2 - 4)

• A/(x-4) + B/(x+4)

• A/(x+2) + B/(x-2)

• (A/(x-2)) + (B/(x+2))

• A/(x^2) + B/(x-2)

Calculate the partial fraction decomposition of the improper fraction (2x^2 + 3x + 4) / (x^2 + 2x + 1)

• 2+ -1/(x+1)+3/(x+1)^2

• (2/(x+1)) + (1/(x+1))

• (1/x) + (1/x)

• (1/x^2) + (1/(x+1))+2

Find the partial fraction decomposition of the repeated linear factor (2x + 3) / (x^2 - 4)

• A/(x + 3) + B/(x - 2)

• A/(x + 2) + B/(x - 2)

• A/(x^2 + 4) + B/(x - 2)

• A/(x - 3) + B/(x + 2)

Determine the partial fraction decomposition of the repeated linear factor (5x - 1) / (x^2 + 4x + 4)

• A/(x + 2) + B/(x + 2)^2

• A/(x - 2) + B/(x - 2)^2

• A/(x - 1) + B/(x - 1)^2

• A/(x + 4) + B/(x + 4)^2

Find the partial fraction decomposition of the irreducible quadratic factor (3x + 4) / (x^2 + 5x + 6)

• A/(x+1) + B/(x+3)

• A/(x+2) + B/(x+4)

• A/(x+2) + B/(x+3)

• A/(x+4) + B/(x+3)

Determine the partial fraction decomposition of the irreducible quadratic factor (2x + 1) / (x^2 + 3x + 2)

• A/(2x + 1) + B/(x^2 + 3x + 2)

• A/(x + 1) + B/(x + 2)

• A/(x^2 + 1) + B/(x^2 + 2)

• A/(x - 1) + B/(x - 2)

Calculate the partial fraction decomposition of the improper fraction (4x^2 + 3x + 2) / (x^2 - 9)

• (A/(x-3)) + (B/(x+3))

• A/(x^2-9) + B/(4x^2+3x+2)

• A/(x+3) + B/(x-3)

• A/(x-2) + B/(x+3)

Determine the partial fraction decomposition of the irreducible quadratic factor (3x + 2) / (x^2 + 2x + 1)

• A/(x+1) + B/(x+1)^2

• A/(x+2) + B/(x+2)^2

• A/(x+1) + B/(x+2)

• A/(x+2) + B/(x+1)

Find the partial fraction decomposition of the improper fraction (5x^2 + 7x + 3) / (x^2 + 4x + 4)

• (A/(x+2)) + (B/(x+2)^2)

• (A/(x+1)) + (B/(x+1)^2)

• (A/(x+3)) + (B/(x+3)^2)

• (A/(x+2)) + (B/(x+3))