Question

Factor the expression. 40z – 20

a) 2z - 1
b) 2(20z-10)
c) 20(2z-1)
d) 20(2Z-20)

Answer 1

C.

20 is the greatest common factor. Then divide.

Answer 2

• 
  `\bf\pink{20(2z-1)}`

Explanation:

Given Expression :-

• 
  `\rm\gray{40z-20}`

Steps to factorise :-

`\\\to\:\:\to\:\:\rm\red{40z - 20}`

• Factor out
  `\bf\blue{20}` from the expression

`\\\to\:\:\to\:\:\rm\green{20(2z-1)} \\`

(Refer the attachment for graph representation)

Graph Details :-

`\bigstar\:\:\bf\purple{y = 40z-20} \\`

• 
  `\rm{Root \: \bigg( (1)/(2), \:0\bigg) }`

• 
  `\rm{ Domain \: \:z \: \in\:{\mathbb{R}}}`

• 
  `\rm{Range \: \:y \: \in\:{\mathbb{R}}}`

• 
  `\rm{Vertical \: intercept\:\:(0,\:-20)}`