Question

Factorise by factor theorem
$6 {x}^{2} + 17x + 5$
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Answer 1

Answer:

$6 {x}^{2} + 17x + 5 \\ 6 {x}^{2} + 15x + 2x + 5 \\ 3x(2x + 5) + 1(2x + 5) \\ (3x + 1)(2x + 5)$

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Answer 2

Answer:

(3x + 1)(2x + 5)

Step-by-step explanation:

6x² + 17x + 5 =

(Let split middle coefficient 17 = 2 + 15)  

6x² + 2x + 15x + 5 =

(6x² + 2x) + (15x + 5) =

2x(3x + 1) + 5(3x + 1) =

(3x + 1)(2x + 5)