GCF, Factor trinomial, factor by grouping

GCF, Factor trinomial, factor by grouping

Fill in the Blanks

What is the GCF of:

3x²y³ + 18xy - 24x³y²

Multiple Choice

Factor the common factor out of the expression...

16v⁷ + 14v⁶ - 14v⁵

• 2v⁵(8v³+7v²-7v)

• 2v⁴(8v⁴ + 7v² - 7)

• 4v⁵(16v² + 14v - 14)

• 2v⁵(8v² + 7v - 7)

Multiple Choice

Factor out the common factor...

27 + 24x + 6x³

• 15(3 + 8x + 2x³)

• x(12 + 4x + x²)

• 3(9 + 8x + 2x³)

• 3(24 + 21x + 3x³)

Multiple Choice

Factor out the GCF...

-50x¹¹y³ - 10x⁹y³ + 35x⁸y³

• 5x⁸y³ (-10x³ - 2x + 7)

• 5x⁸y³ (-10x³ - 2x² + 7y)

• 5(-10x¹¹y³ -2x⁹y³+7x⁸y³)

Multiple Choice

Factor completely:

x² + 2x - 63

• (x - 9)(x+7)

• (x+9)(x+7)

• (x-9)(x-7)

• (x+9)(x-7)

Multiple Choice

Factor completely...

x² - 4x - 60

• (x - 10) (x + 6)

• (x +10) (x - 6)

• (x - 12) (x+5)

• not factorable

Multiple Choice

Factor completely...

x² + 9x + 20

• (x - 2) (x - 10)

• (x + 5) (x + 4)

• (x - 5) (x+4)

• (x-5)(x-4)

Multiple Choice

Factor completely...

2x² + 2x - 4

• 2(x+1)(x-2)

• 2

• (x+2)(x-1)

• 2(x+2)(x-1)

Multiple Choice

Factor completely...

3x² + 24x + 45

• 3x (x² + 8x + 15)

• 3(x+5)(x+3)

• (x+5)(x+3)

• 3(x-5)(x-3)

Multiple Choice

Factor by grouping...

64x³ + 24x² + 40x + 15

• 8x² + 5

• (8+5)(8x³ + 3x²)

• (8x²+5)(8x+3)

• 8x²(8x + 3)+5(8x + 3)

Multiple Choice

Factor by grouping...

35x³ - 42x² -25x +30

• 7x² - 5

• (7x²-5)(5x+6)

• (7x³ - 5x)(5x - 6)

• (7x²-5)(5x-6)

Poll

Rate yourself on the mastery of these concepts

• 1 -- I need a lot of help

• 2 -- It is starting to make a little sense

• 3 -- I get it most of the time. Sometimes I make errors with the GCF and signs

• 4 -- I am an expert. I could teach this to someone else!