Polynomials in Factor Form

What is the factored form of 2a³-2a²

• 2a²(a)

• 2a(2a²-a)

• 2a²(a-1)

• 2a²(a+1)

Why do we need to find the GCF of polynomials? Choose the BEST option.

• Because Ms. Rice said so

• To simplify the polynomials as much as possible before working with them

• To get rid of stuff

• Because the GCF makes the problem impossible to solve

Write 4x³ +2x²-6x in factored form.

• 2x(2x-3)(x+1)

• 4x(2x+3)(x-1)

• 2x(2x+3)(x-1)

• 4x(2x-3)(x+1)

What method should you use to factor the polynomial?

x² - 36

• Factor by Grouping

• Factor out the GCF

• Difference of Squares

• Difference of 2 Cubes

What method should you use to factor the polynomial?

• Factor by Grouping

• Factor out the GCF

• Difference of Squares

• Trinomials (ac,b,T-chart)

What method should you use to factor the polynomial?

• Sum of 2 Cubes

• Factor out the GCF

• Difference of Squares

• Difference of 2 Cubes

Factor:   x³ + 512

• (x + 8)(x² - 8x + 64)

• (x + 8)(x² + 8x -64)

• (x-8)(x + 2)

• (x - 8)(x² - 8x - 64)

x² - 400

• ( x - 200) ( x + 200) 

• ( x + 20) ( x + 20) 

• Prime

• ( x - 20) ( x + 20) 

3x² - 75

• 3( x + 5 ) ( x - 5 ) 

• Prime

• ( x + 5 ) ( x - 5 ) 

• 3( x - 5 ) ( x - 5 ) 

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)