3.4 - factoring completely GCF/DOTS

When factoring we always look for what first?

• DOTS

• GCF

• Factor By Grouping

What is the greatest common factor of the two terms in the expression x⁵y²+x²y⁷z

• x²
• x²y²z
• x²y²
• x⁵y⁷z

Factor
5ab²c¹¹ + 2bc⁵

• bc⁵(5ab²c⁶ + 2b)
• bc⁵(5abc⁶ + 2)
• b²c⁵(5bc⁶ + 2)
• c4(5a²b²c⁷ + 2bc)

Factor:
x² - 5x

• 1(x - 5)
• x(x - 5x)
• x(x - 5)
• x²(1 - 5)

Factor out the GCF

3x³ + 9x

• 3x (x² + 3)

• 3x ( x³ + 9)

• x (3x² + 9)

• 3x (x³ + 3x)

Which of these can factor using difference of two squares?

• 144x² - 49y²

• x² + 4x - 12

• 100x² + 20x + 1

• 14x - 16

Tags

CCSS.HSA.APR.C.4

Which one is false about the difference of two squares?

• We can factor because there is addition sign.

• We can factor because there is a perfect squared number (Example: x², 25, 49)

• Formula: a² - b² = (a + b) (a - b)

• We can factor because there is minus sign.

Tags

CCSS.HSA.APR.C.4

Factor 4x²-9

• (4x-9)(4x+9)

• (2x-3)(2x+3)

• 2x-3

• (2x-4.5)(2x+4.5)

Tags

CCSS.HSA.APR.C.4

Factor x²-25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

Tags

CCSS.HSA.APR.C.4

49n² - 25

• Not Factorable
• (3n + 5)(3n - 5)
• (7n + 5)(7n - 5)
• (5n + 7)(5n - 7)

Tags

CCSS.HSA.APR.C.4