Factorisation of Quadratics

x² +6x+5

• (x+2)(x+3)

• (x+2)(x-3)

• (x+1)(x+5)

• (x-1)(x-5)

y²+18y+32

• (y+4)(y+8)

• (y+ 2)(y+16)

• (y+2)(y-16)

• (y+1)(y+32)

x²-13x+42

• (x-3)(x-14)

• (x+6)(x+7)

• (x-6)(x-7)

• (x-2)(x-21)

x²+3x-18

• (x+6)(x-3)

• (x-6)(x+3)

• (x-2)(x+9)

• (x+2)(x-9)

Factorise:

$x^2+5x-50$

• $\left(x+25\right)\left(x-2\right)$

• $\left(x-5\right)\left(x+10\right)$

• $\left(x-10\right)\left(x+5\right)$

• $\left(x-25\right)\left(x+2\right)$

Factorise:

 $x^2-x-12$  

•  $\left(x+3\right)\left(x+4\right)$  

•  $\left(x-4\right)\left(x-3\right)$  

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

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

Which of these (more than one) are types of factorisation?

• Common Factor

• Quadratic

• Using Brackets

• Expansion

Factorise:

 $x^2-8x-33$  

•  $\left(x-3\right)\left(x+11\right)$  

•  $\left(x+33\right)\left(x-1\right)$  

•  $\left(x+3\right)\left(x-11\right)$  

•  $\left(x-33\right)\left(x+1\right)$  

Factor: x² – 5x – 24

• (x - 5)(x + 19)
• (x - 8)(x + 3)
• (x - 3)(x + 8)
• (x - 19)(x + 5)

Find two numbers that :
- Multiply to make 6
- Add to make 5

• 2 and 3
• 2 and -3
• 6 and -1
• -6 and -1