Gcf Dots Factor by Grouping

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

• x(3x² + 9x - 15) 

• 3x(x² + 3x - 5)

• 3x(x² - 9x + 15) 

• x(3x² -9x + 15) 

• 2x²(80x³-70-60x⁶)

• 10x²(80x⁴-70x-60x⁶)

• 10x²(8x³-7-6x⁵)

• 3x²(80x³-40-60x⁵)

• Yes, because the teacher is always right!

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

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

Fully Factor the Following (DOTS)

• (5x-9)²

• (5x+9)(5x-9)

• 25(x-9)²

• (9x+5)(9x-5)

Factor 4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

factor:x² - 25

• ( x + 5 ) ( x - 5 ) 

• ( x - 5 ) ( x - 5 ) 

• ( x + 5 ) ( x + 5 ) 

• Prime

Factor:

25x² - 36y²

• 5x + 6y(5x - 6y)

• (5x + 6y) (5x - 6y)

• (5x + 6y)²

• (5x - 6y)²