Factorising polynomials

Factor this: 6x²-15x+24

• (3x+8)(2x+3)
• (2x-6)(3x+4)
• 6(x²-2x+4)
• 3(2x²-5x+8)

• 5(x=-3)(x=-5)

• 5(x=3)(x=5

• 5(x=-3)(x=5)

• 5(=3)(x=-5)

• Not factorable

Factor  $p^2+p-12$  

•  $prime$  

•  $\left(p+4\right)\left(p-3\right)$  

•  $\left(p+6\right)\left(p-2\right)$  

•  $\left(p-4\right)\left(p+3\right)$  

Factor completely: 
3x² + 18x +27
Hint: Factor GCF first.

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x² +6x + 9)

• Prime

Factor
9x²-12x-5

• (9x+3)(9x-15)
• (3x+1)(3x-5)
• (3x-1)(3x+5)
• (3x-1)(3x-5)

Factor completely:

3x² - 7x + 2

• (x - 1) (3x + 2)

• (x - 2) (3x -1)

• (x - 1) (3x - 2)

• (x + 2) (3x + 1)

Factor  $6n^2+7n+2$  

What signs should the factors of $x^2-10x+16$ have ?

• Opposite Signs

• Same Signs: Both Positive

• Same Signs: Both Negative