Question

10. The factors of 3m² + 9m + 6 are:
3)
A. (m + 1) (m + 2)
C. 6(m + 1) (m + 2)
B.3(m + 1) (m + 2)
D.9(m + 1) (m + 2)​

Answer 1

Answer:

Option B is the correct answer

Step-by-step explanation:

3m² + 9m + 6

= 3m²+3m+6m+6

= 3m(m+1)+6(m+1)

= (m+1)(3m+6)

= 3(m+1)(m+2)

Hope it helps!!

Answer 2

⠀☆ GIVEN⠀ POLYNOMIAL  – 3m² + 9m  + 6 :

3m² + 9m  + 6 :⠀⠀⠀⠀

$:\implies\sf 3m^2+9m + 6 = 0 \\\\\\\star \sf{By \:Using\:Sum-Product \:Pattern\::}\\\\ \:\implies\sf 3m^2 + 3m + 6m + 6 = 0 \\\\\\\star\sf{Finding\:out\:Common\:Terms\::}\\\\\\:\implies\sf 3m(m + 1) +6 (m+ 1) = 0\\\\\\\star\sf{Now,\:Rewrite\:in\:Factored\:term\::}\\\\\\:\implies\sf (3m + 6)\; (m + 1) = 0\\\\\\\ \sf{By\:Taking\:3\:as\:common \:in\:first\:factor}\:\:\\\\ \sf {(m+2)(m + 1)} \\\\:\implies{\underline{\boxed{\frak{\purple{(m + 2)(m + 1)}}}}}\;\bigstar$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm { Hence, \:The\:factors\:are\:\bf{(m+1)\:and \:(m+2)\: }}}}$

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