Question

Factor: 12x2+19x+5
A. (4x−5)(3x−1)
B. (4x−1)(3x−5)
C. (4x+5)(3x+1)
D. (4x−5)(3x−1)

Answer 1

12x² + 19x + 5
12x² + 15x + 4x + 5
4x ( 3x + 1 ) + 5 ( 3x + 1 )
( 4x + 5 ) ( 3x + 1 )

Hence, Required option is Option ( C)

Answer 2

$The \: \: answer \: \: is \: \: given \: \: below :\\ \\ Now, \\ \\ 12 {x}^{2} + 19x + 5 \\ \\ = 12 {x}^{2} + (15 + 4)x + 5 \\ \\ = 12 {x}^{2} + 15 x + 4x + 5 \\ \\ = 3x(4x + 5) + 1(4x + 5) \\ \\ = (4x +5 )(3x + 1), \\ \\ which \: \: is \: \: the \: \: required \\ factorization. \\ \\ So, \: \: Option \: \: C \: \: is \: \: correct.\\ \\ Thank \: \: you \: \: for \: \: the \: \: question.$