Find the value
Question:

$6 x^{2}+17 x+5=?$

(a) (2x + 1)(3x + 5)
(b) (2x + 5)(3x + 1)
(c) (6x + 5)(x + 1)
(d) none of these

 

Solution:

(b) (2x + 5)(3x + 1)

$6 x^{2}+17 x+5=6 x^{2}+15 x+2 x+5$

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

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

 

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