Polynomial Operations and Quadratics

What is the result of (3x^2 + 5x) - (2x^2 + 3x)?

• 5x^2 + 2x

• x^2 + 8x

• x^2 - 2x

• x^2 + 2x

Multiply the polynomials (x + 2) and (x - 3).

• x^2 - 5

• x^2 + 5x - 6

• x^2 + x + 6

• x^2 - x - 6

Factor the quadratic binomial x^2 - 5x + 6.

• (x + 2)(x + 3)

• (x - 2)(x - 3)

• (x - 1)(x - 6)

• (x - 4)(x - 2)

Solve the quadratic equation x^2 + 4x + 4 = 0.

• x = 2

• x = -2

• x = -4

• x = 0

Identify the roots of the quadratic equation x^2 - 7x + 10 = 0.

• 5, 2

• 3, 4

• 1, 6

• 0, 10

What is the result of (4x^3 - 2x^2) - (x^3 + 3x^2)?

• 3x^3 - 5x^2

• 4x^3 + 3x^2

• 2x^3 + x^2

• 5x^3 - 2x^2

Multiply the polynomials (2x - 1) and (3x + 4).

• 6x^2 + 5x - 4

• 5x^2 + 6x - 4

• 6x^2 + 4x - 3

• 6x^2 - 5x + 4

Factor the quadratic binomial x^2 + 6x + 9.

• (x + 2)(x + 4)

• (x + 1)(x + 8)

• (x + 3)(x + 3)

• (x + 3)^2

Solve the quadratic equation 2x^2 - 8 = 0.

• x = 1 or x = -1

• x = 2 or x = -2

• x = 4 or x = -4

• x = 0 or x = 8

Identify the roots of the quadratic equation x^2 + 2x - 8 = 0.

• 2, -4

• 1, -8

• -2, 4

• 0, 8