smc-6215-40-Factorise

Functions, 2ADV F1 2017 HSC 2 MC

Which expression is equal to `3x^2-x-2`?

`(3x-1) (x + 2)`
`(3x + 1) (x-2)`
`(3x-2) (x + 1)`
`(3x + 2) (x-1)`

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`D`

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`3x^2-x-2= (3x + 2) (x-1)`

`=> D`

Functions, 2ADV F1 2007 HSC 1e

Factorise `2x^2 + 5x − 12`. (2 marks)

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`(2x – 3) (x + 4)`

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`2x^2 + 5x – 12`

`= (2x – 3) (x + 4)`

Functions, 2ADV F1 2015 HSC 11b

Factorise fully `3x^2-27`. (2 marks)

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`3 (x + 3) (x-3)`

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`3x^2-27`	`= 3 (x^2-9)`
	`= 3 (x + 3) (x-3)`

Functions, 2ADV F1 2006 HSC 1b

Factorise `2x^2 + 5x-3`. (2 marks)

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`(2x-1) (x + 3)`

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`2x^2 + 5x-3= (2x-1) (x + 3)`

Functions, 2ADV F1 2014 HSC 11b

Factorise `3x^2 + x − 2`. (2 marks)

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`(3x- 2)(x + 1)`

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`3x^2 + x – 2`

`= (3x- 2)(x + 1)`

Functions, 2ADV F1 2010 HSC 1a

Solve `x^2 = 4x`. (2 marks)

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`x = 0\ text(or)\ 4`

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`x^2`	`= 4x`
`x^2-4x`	`= 0`
`x(x-4)`	`= 0`

`:.\ x = 0\ text(or)\ 4`

Functions, 2ADV F1 2011 HSC 1b

Simplify `(n^2 - 25)/(n - 5)`. (1 mark)

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`n + 5`

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`(n^2\ – 25)/(n -5)`	`= ((n -5)(n + 5))/(n -5)`
	`= n + 5`

Functions, 2ADV F1 2012 HSC 11a

Factorise `2x^2 - 7x +3` (2 marks)

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`(2x -1)(x-3)`

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`2x^2 – 7x +3`

STRATEGY: Check your answer by expanding factors.

`= (2x -1)(x-3)`