Factoring Difference of Squares and Trinomials with GCF

What does GCF mean?

• green colored frogs

• greatest coefficient

• greatest common factor

• greater common fraction

• 1(x - 5)

• x(x - 5x)

• x(x - 5)

• x²(1 - 5)

Factor using GCF: 3x^3+9x^2-15x

• x(3x² + 9x - 15)

• 3x(x² + 3x - 5)

• 3x(x² - 9x + 15)

• x(3x² -9x + 15)

Factor using the difference of two squares (DOTS)

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

Tags

CCSS.HSA.APR.C.4

Fully Factor the Following
25x²-81

• (5x-9)²

• (5x+9)(5x-9)

• 25(x-9)²

• (9x+5)(9x-5)

Tags

CCSS.HSA.APR.C.4

Which of these can ONLY BE factored using difference of two squares?

• 144x² - 49y²

• x² + 4x - 12

• 100x² + 20x + 1

• 14x - 16

Tags

CCSS.HSA.APR.C.4

• 25(10x³ + 45x - 15)

• 5(2x³ + 3x² - x)

• x(10x³ + 15x - 5)

• 5(2x² + 3x - 1)

• Yes, because the teacher is always right!

• No, because 9 doesn't divide into 18 and 36. There are too many variables.

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

36k² - 1

• (6k² + 1) (6k² - 1)

• Prime

• (6k + 1)(6k + 1)

• (6k + 1) (6k - 1)

Tags

CCSS.HSA.APR.C.4