Polynomial Review

What is the result of multiplying (2x + 3) by (4x - 5)?

• 8x^2 + 2x - 15

• 8x^2 + 2x + 15

• 8x^2 - 2x - 15

• 8x^2 + 2x + 5

Divide (6x^2 + 9x - 12) by (3x - 4).

• 4x - 5

• 3x + 4

• 2x + 5

• 2x - 3

Solve the equation 2x^2 + 5x - 3 = 0.

• x = 2, x = -1

• x = 3, x = -2

• x = 4, x = -3

• x = 1, x = -3/2

Perform synthetic division to divide (3x^3 + 2x^2 - 5x + 1) by (x - 2).

• 3x^2 + 4x - 13 + 27/(x + 2)

• 3x^2 + 4x - 13 + 27/(x + 1)

• 3x^2 + 4x - 13 + 27/(x - 2)

• 3x^2 + 4x - 13 + 27/(x - 3)

Find the rational roots of the polynomial 2x^3 - 5x^2 + 3x - 1.

• 1/3

• -3/4

• 3/2

• 1, -1, 1/2, -1/2, 2, -2

What is the product of (x + 2)(x - 3)?

• x^2 + x - 6

• x^2 - 5x + 6

• x^2 + 5x - 6

• x^2 - x - 6

Divide (4x^3 - 6x^2 + 9x - 12) by (2x - 3).

• 2x^2 - 3x + 4

• 2x^2 - 3x + 2

• 2x^2 - 3x - 2

• 2x^2 - 3x - 4

Solve the equation x^3 - 4x^2 + 4x - 1 = 0.

• x = 2, x = -1

• x = 0, x = 1

• x = 4, x = -2

• x = 1, x = (3 ± √5)/2

Perform synthetic division to divide (5x^4 + 3x^3 - 2x^2 + x - 4) by (x + 1).

• 5x^3 - 2x^2 + 3x - 2

• 5x^3 - 2x^2 + 3x + 2

• 5x^3 - 2x^2 + 3x - 1

• 5x^3 - 2x^2 + 3x - 4

Find the rational roots of the polynomial 3x^4 - 2x^3 + 5x^2 - 4x + 2.

• ±1/1, ±1/3, ±2/1, ±2/3

• ±3/1

• ±1/4

• ±1/2