Factoring Warm Up

Factor completely: 3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Factor Completely:
x² + 8x + 16

• (x + 4)(x + 4) 

• (x - 4)(x + 4)

• (x - 2)(x + 8)

• (x + 8)(x + 2)

Factor:   x³ + 1

• (x + 1)³

• (x+1)(x² - x + 1)

• (x - 1) (x² + x - 1)

• (x + 1)(x² - 2x + 1)

Answer explanation

Sum of Cubes

Factor this sum of cubes:
2x³ + 128

• 2(x³ + 64)

• (x + 4)(x² - 4x + 16)

• 2(x - 4)(x² + 4x + 16)

• 2(x + 4)(x² - 4x + 16)

Answer explanation

Factor GCF,

Sum of Cubes

Factor this difference of cubes:
x³ - 343

• (x + 7) (x² - 7x + 49)

• (x² + 1) (x - 343)

• (x - 7) (x² + 7x + 49)

• (x² - 343) (x + 1)

Answer explanation

Difference of Cubes

What is the greatest common factor (GCF) of 15x²yz² and 35y²z

• Factor by using difference of squares: (x+4)(x-4)

• Write the left over: x² - 16

• Find GCF: 3y

factor x² - 25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime, meaning the expression cannot be factored.

factor x² - 5x

• 1(x - 5)

• x(x - 5x)

• x(x - 5)

• x²(1 - 5)

Factor x³ - 25x

• 1(x - 5)(x+5)

• x(x - 5x)(x+5x)

• x²(x - 25)

• x(x-5)(x+5)