Factoring Polynomials

Factor the following quadratic polynomial: x^2 + 5x + 6

• (x + 1)(x + 6)

• (x + 3)(x + 2)

• (x + 4)(x + 2)

• (x + 2)(x + 3)

Factor the difference of squares: 16x^2 - 25

• (4x + 5)^2

• ((4x) + 5)((4x) - 5)

• (4x - 5)^2

• (16x + 25)(16x - 25)

Factor the perfect square trinomial: x^2 + 6x + 9

• (x + 3)^2

• (x + 5)^2

• (x + 2)^2

• (x + 4)^2

Factor the sum of cubes: 8x^3 + 27

• 4x + 9

• 2x^2 + 3

• 8x + 27

• 2x + 3

Factor the following quadratic polynomial: 2x^2 - 7x - 15

• (2x + 3)(x - 5)

• (2x - 3)(x + 5)

• (2x - 5)(x + 3)

• (2x + 5)(x - 3)

Factor the difference of squares: 9a^2 - 4b^2

• (3a + 2b)^2

• ((3a + 2b)(3a - 2b))

• (9a + 4b)(9a - 4b)

• (3a + 4b)(3a - 4b)

Factor the perfect square trinomial: 4x^2 + 12x + 9

• (2x + 4)^2

• (2x + 3)^2

• (2x + 5)^2

• (2x + 6)^2

Factor the sum of cubes: 27x^3 + 64y^3

• ((3x)^3 + (4y)^3) = (3x + 4y)(9x^2 - 12xy + 16y^2)

• 27x^3 + 64y^3 = (3x + 4y)(9x^2 + 12xy + 16y^2)

• ((3x)^3 + (4y)^3) = (3x + 4y)(9x^2 - 12xy + 16y^2)

• 27x^3 + 64y^3 = (3x + 4y)(9x^2 + 12xy - 16y^2)

Factor the following quadratic polynomial: 3x^2 + 10x + 8

• (3x - 4)(x - 2)

• (3x + 4)(x + 2)

• (3x + 8)(x + 10)

• (3x + 2)(x + 4)

Factor the difference of squares: 49m^2 - 81n^2

• (7m + 9n)^2

• (49m + 81n)(49m - 81n)

• (7m - 9n)^2

• ((7m + 9n)(7m - 9n))