Factored Form of Quadratic Functions

What are all the positive and negative factors of 20?

• 1×20,

  2×10,

  4×5,

  -1×-20,

  -2×-10,

  -4×-5

• 1×20,

  2×10,

  4×5,

  5×4,

  10×2,

  20×1

• 2×10,

  4×5,

  -2×-10,

  -4×-5

• 1×20,

  2×10,

  4×5

• -1×-20,

  -4×-5,

  1×20,

  4×5

Tags

CCSS.4.OA.B.4

What are all the positive and negative factors of -12?

• -1×12,

  1×-12,

  -2×6,

  2×-6,

  -3×4,

  3×-4

• 1×12,

  2×6,

  3×4,

  -1×-12,

  -2×-6,

  -3×-4

• -2×6,

  2×-6,

  -3×4,

  3×-4

• -1×12,

  1×-12,

  -2×6,

  2×-6,

• 1×12,

  3×4,

  -1×-12,

  -3×-4

Tags

CCSS.6.NS.C.6A

Find the GCF of 8, 12, and 20.

• 2

• 4

• 6

• 8

• 12

Find the GCF of x³, x⁵, and x²

• x

• x²

• x³

• x⁴

• x⁵

Factor out the GCF and leave a remainder for 3x + 9.

• 3(x + 3)

• 3(x + 2)

• x(3 + 9)

• 3(x + 1)

• 3(x + 9)

Tags

CCSS.7.EE.A.1

Factor out the GCF and leave a remainder for 10x² - 15x + 25.

• 5(2x² - 3x + 5)

• 5(2x² - 3x + 20)

• 2(5x² - 3x + 2)

• 10(x² - 5x + 5)

• 10(x² - 5x + 15)

Factor out the GCF and leave a remainder for 4x³ - 2x² + 6x.

• 2x(2x² - x + 3)

• 2x(2x² - x + 2)

• 2x²(2x² - x + 1)

• 2x(2x² - x + 4)

• 4x(x² - x + 2)

Factor out the GCF and leave a remainder for x⁴ + 7x³ + 14x².

• x²(x² + 7x + 14)

• x²(x² + 7x + 7)

• x²(x² + 7x + 2)

• x⁴(1 + 7x + 14x²)

• 7x²(x² + x + 2)

Determine if a negative needs to be factored out, then factor out the GCF and leave a remainder for

-6x² - 3x - 18.

• -3(2x² + x + 6)

• -6(x² - 3x - 3)

• -3(2x² + x + 2)

• -6(x² + x + 3)

• -3(2x² - x - 6)

Determine if a negative needs to be factored out, then factor out the GCF and leave a remainder for

-4x³ + 8x² + 12x

• -4x(x² - 2x - 3)

• -4x(x² - 2x - 2)

• -4x(x² - 2x - 1)

• -4x(x² - 2x - 4)

• -12x(3x² - 4x -1)