Expansion and Factorisation of Quadratic Expressions

Expand and Simplify
-4(2h + 3)

• -8h - 12
• -8h - 3
• -8h + 3
• -8h +12

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor
-8x - 10

• 4(2x - 3)
• -2(4x + 5)
• -2(4x - 5) 
• 4(2x + 3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factorise:  $x^2+11x+30$ 

•  $\left(x+5\right)\left(x+6\right)$  

•  $(x-5)(x+6)$  

•  $\left(x+5\right)\left(x-6\right)$  

•  $\left(x-5\right)\left(x-6\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $Factorise:\ x^2-4x+3$  

•  $\left(x-3\right)\left(x-1\right)$  

•  $\left(x+3\right)\left(x+1\right)$  

•  $\left(x+3\right)\left(x-1\right)$  

•  $\left(x-3\right)\left(x+1\right)$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $Factorise:\ x^2+21x+108$  

•  $\left(x-12\right)\left(x-9\right)$  

•  $\left(x+12\right)\left(x+9\right)$  

•  $\left(x-18\right)\left(x-6\right)$  

•  $\left(x+18\right)\left(x+6\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $Factorise:\ x^2-32x-105$  

•  $\left(x-30\right)\left(x-2\right)$  

•  $\left(x+30\right)\left(x+2\right)$  

•  $\left(x-35\right)\left(x+3\right)$  

•  $\left(x+35\right)\left(x-3\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $Factorise:\ 6x^2+7x-3$  

•  $\left(2x+3\right)\left(3x-1\right)$  

•  $\left(2x+3\right)\left(3x+1\right)$  

•  $\left(2x+1\right)\left(3x-3\right)$  

•  $\left(2x-3\right)\left(3x-1\right)$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which of the following expressions cannot be factored?

• x² – 4x + 4
• x² – y²
• x² + 4x + 4
• x² + y²

Which of the following expressions is equivalent to x² – 4y²?

• (x + 2)(x – 2)
• (x – 2y)²
• (x + 2y)(x – 2y)
• (x + 2y)²

Expand and simplify: (4x + 3)(5x + 6)

• 20x² + 39x + 18
• 20x² + 9x + 18
• 20x² + 18
• 20x² – 18