Factoring Gcf, Difference of Squares, and Trinomials

Factoring trinomials (slip and slide method)

8y²-10y-3

• Prime

• (2y-3)(4y+1)

• (2y+1)(4y-3)

• (4y-1)(2y+3)

Factoring Trinomials with GCF (**Slip and Slide Method**) 10x²+75x+35

• 5(x+7)(2x+1)

• 5(x+14)(x+1)

• (x+7)(2x+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?

5n³-10n²+3n-6

• Factor by Grouping

• Factor out the GCF

• Difference of Squares

• Trinomials (ac,b,T-chart)

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)

x² - 400

• ( x - 200) ( x + 200) 

• ( x + 20) ( x + 20) 

• Prime

• ( x - 20) ( x + 20) 

Factor by grouping:
x³+7x²-2x-14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

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

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Factor by grouping: 4p³ + 8p² + 3p + 6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)