Question

Factorise:
(i) 12x2 - 7x + 1
(ii) f(x) = 2x2 + 7x + 3

Answer 1

12x^2 - 7x + 1 

12x^2 - (4 + 3)x + 1 

12x^2 - 4x - 3x + 1 

4x(3x - 1) - (3x - 1)

(3x - 1)(4x - 1)


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(ii) :

2x^2 + 7x + 3 

2x^2 + (6 + 1)x + 3 

2x^2 + 6x + x + 3 

2x(x + 3) + (x + 3)

(x + 3)(2x + 1)



i hope this will help you



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Answer 2

1)
${12x}^{2} - 7x + 1 \\ {12x}^{2} - 3x - 4x + 1 \\ 3x(4x - 1) - 1(4x - 1) \\ (3x - 1)(4x - 1) \: answer$
2)
${2x}^{2} + 7x + 3 \\ 2 {x}^{2} + 6x + 1x + 3 \\ 2x(x + 3) + 1(x + 3) \\ (2x + 1)(x + 3) \: answer$
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