Question

factorize 6x² + 20x + 6​

Answer 1

Answer:

$(x + 3)(6x + 2)$

Step-by-step explanation:

$6 {x}^{2} + 20x + 6 \\ \\ 6 {x}^{2} + (18 + 2) + 6 \\ \\ 6 {x}^{2} + 18x + 2x + 6 \\ \\ 6x(x + 3) + 2(x + 3) \\ \\ (x + 3)(6x + 2) \\ \\ \\ hope \: it \: helps \: u$

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Answer 2

=6x²+20x+6

--->divide them by 3

=3x²+10x+3=0

=3x²+1x+9x+3=0

=x(3x+1)+3(3x+1)=0

=(x+3)(3x+1)=0

since (x+3)(3x+1) is 3x²+10x+3

=2(x+3)(3x+1)=0

=2(x+3)=0    or   =2(3x+1)=0

=2x+6=0             =6x+2=0

=2x=-6                =6x= -2

=x= -3                  =x= -2/6

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