Factoring Polynomials

Factor completely:
16x² - 20xy

• 4 (4x² - 5xy)
• 4x (4x - 5y)
• 4x² (4 - 5y)
• 2(duck)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely:
4x²y - 12xy + 5y

• (2xy - 1) (2x - 5)
• prime
• y (2x - 1) (2x - 5)
• 4 (xy - 5) (x - 1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely:
y² - 7y + 12

• (y - 3) (y - 4)
• (y + 3) (y - 4)
• (y + 3) (y + 4)
• (y - 2) (y - 6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely:
2x² + 7x + 6

• (2x - 3) (x - 2)
• (2x + 3) (x + 2)
• (x + 3) (2x + 2)
• prime

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor completely:
4x² - 121

• (2x + 11) (11 - 2x)
• (2x - 11) (2x - 11)
• (2x + 11) (2x + 11)
• (2x + 11) (2x - 11)

Tags

CCSS.HSA.APR.C.4

Factor completely:
x² - 5x + 3

• (x + 3) (x + 1)
• (x - 3) (x - 1)
• prime
• (x - 3) (x + 1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

Factor completely:
-8x² + 10x + 3

• (2x - 3) (-4x - 1)
• -1 (2x - 3) (4x + 1)
• -1 (-2x + 3) (4x + 1)
• (-2x + 3) (4x + 1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely:
169 - 9x²

• -1(3x + 13) (3x - 13)
• (3x + 13) (3x - 13)
• (3x + 13) (-3x - 13)
• -1(3x - 13) (3x - 13)

Tags

CCSS.HSA.APR.C.4

The area of a circular rug is 6πk² + 16πk + 8π
Factor the expression completely.

• π (6k +4)(k + 2)
• 2π (3k - 2)(k - 2)
• 2π (k + 2)(3k + 2)
• π (2k +4)(3k + 2)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely:
49p² + 84p + 36

• (7p - 6)(7p - 6)
• (7p - 6)²
• (7p + 6)(7p - 6)
• (7p + 6)(7p + 6)

Tags

CCSS.HSA.APR.C.4