Factoring Trinomials

If a trinomial, ax² + bx + c, has a negative "c" value, what do you know about the signs in its binomial factors.

• The signs are both +. 

• The signs are one + and one -

• The signs are both -

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make the X and fill in the top and bottom

• Multiply a and c

Factor:
 b² + 8b + 7

• (b + 4)(b + 3)

• (b + 6)(b + 1)

• (b + 7)(b +1)

• prime

Factor:  n² - 2n + 1

• (n + 1)(n - 1)

• (n + 1)²

• prime

• (n - 1)²

Factor completely.
3x² - 9x -120

• 3(x - 8)(x + 5)

• 3(x + 8)(x - 5)

• (3x + 8)(x - 5)

• (3x - 8)(x + 5)

Factor:
5x² + 17x + 6   

• (5x + 3)(x + 2) 

• (5x + 2)(x + 3) 

• (5x + 1)(x + 6) 

• (5x + 6)(x + 1) 

Factor completely.
5x²-15x+10

• (5x - 2)(x - 5)

• 5(x - 2)(x + 1)

• (5x + 2)(x + 5)

• 5(x - 2)(x - 1)

Factor

3v² - 4v - 7

• (3v-7)(v+1)

• 3(v-7)(v-1)

• (3v+1)(v-9)

• (3v+1)(v-10)

Factor
9x²-6x-8

• (3x+2)(3x-4)

• (3x+2)(3x+4)

• (3x-2)(3x-4)

• (x-1)(9x+8)

Factor:
6x² – 19x – 7 

• (2x +7)(3x – 1)

• (1x – 1)(6x+7)

• (2x – 7)(3x+1)

• (6x – 7)(1x+1)