Question

Factorise the following polynomial
4x^2+8x+3

Answer 1

4x²+8x+3

4x²+6x+2x+3

2x(2x+3)+1(2x+3)

Therefore it can factorise as

(2x+3)(2x+1)

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Answer 2

Step-by-step explanation:

$4 {x}^{2} + 8x + 3 \\ = 4 {x}^{2} + 6x + 2x + 3 \\ = 2x(2x + 3) + 1(2x + 3) \\ = (2x + 3)(2x + 1)$