Factoring Polynomials

Aria, Aiden, and Grace are having a friendly competition to see who can solve this math problem the fastest. Can you help them out? What is the greatest common factor (GCF) of 12x^2 and 18x?

• 3x

• 6x

• 9x

• 12x^2 + 18x

Aria, Abigail, and Oliver are on a treasure hunt. They found a mysterious note with a riddle: 'Factor the trinomial: x^2 + 5x + 6'. Can you help them solve it?

• (x + 4)(x + 5)

• (x + 1)(x + 6)

• (x + 2)(x + 4)

• (x + 2)(x + 3)

Maya, Aria, and Kai are on a treasure hunt. They stumble upon a magical door that only opens when the correct spell is cast. The spell is hidden in the special case: x^2 - 4. Can you help them factor it?

• (x - 2)(x + 2)

• (x + 4)(x - 1)

• (x - 1)(x + 4)

• (x - 4)(x + 1)

Kai, Michael, and Aria are on a treasure hunt. They found a mysterious note with a mathematical riddle: 'Factor the polynomial completely: 2x^3 + 4x^2 - 8x'. Can you help them solve it?

• 2x(x^2 + 2x + 4)

• 2x(x^2 + 2x - 4)

• 2x(x^2 - 2x + 4)

• 2(x^2 + 2x - 4)

Abigail, Avery, and Luna are on a treasure hunt. They found a mysterious note that reads: 'To find the treasure, you must first solve this riddle: What is the GCF of 24x^3y^2 and 36xy^3?'

• x^2y^2

• xy^2

• 6xy^2

• 12x^2y^3

Charlotte, Abigail, and Elijah are on a treasure hunt. They found a mysterious note with a riddle: 'Factor the trinomial: 2x^2 + 7x + 3'. Can you help them solve it?

• (2x + 1)(x + 2)

• (2x + 3)(x + 1)

• (2x + 2)(x + 3)

• (2x + 1)(x + 3)

Abigail, Kai, and Nora are on a treasure hunt. They stumble upon a mysterious stone with an inscription: 'x^2 - 9'. They realize it's a special case factorization problem. Can you help them solve it?

• (x - 3)(x + 3)

• (x - 5)(x + 5)

• (x - 1)(x + 9)

• (x - 2)(x + 4)

Henry, Jackson, and Aria are having a friendly competition to see who can factor the polynomial completely first: 3x^3 - 9x^2 + 6x. Can you beat them to it?

• 3x(x - 1)(x - 2)

• 3x(x + 1)(x + 2)

• 3x(x + 1)(x - 2)

• 3x(x - 1)(x + 2)

Lily, Zoe, and Grace are having a friendly competition to see who can factor the polynomial by grouping the fastest: 2x^3 + 3x^2 + 4x + 6. Can you beat them to it?

• (x^2 + 3)(2x + 2)

• (x^2 + 2)(3x + 4)

• (x^2 + 4)(2x + 3)

• (x^2 + 2)(2x + 3)

Avery, Luna, and Mia are on a treasure hunt. They found a mysterious scroll with a riddle: 'Factor the polynomial completely: x^4 - 16'. Can you help them solve it?

• (x^2 - 4)(x + 2)(x - 2)

• (x^2 + 4)(x + 2)(x - 2)

• (x^2 + 4)(x - 2)(x + 2)

• (x^2 - 4)(x - 2)(x + 2)