Question

Which is the completely factored form of 12x4 + 39x3 + 9x2?
O 3x²(x - 3)(4x - 1)
O 3x²(x + 3)(4x + 1)
O 3x(x + 3)(4x + 1)
O 3x(x − 3)(4x + 1)

Answer 1

Answer:

$\underline{ \underline{ \text{Second \: Option}}}$

Step-by-step explanation:

$\tt{12 {x}^{4} + 39 {x}^{3} + 9 {x}^{2}}$

⟶ $\tt{3 {x}^{2} (4 {x}^{2} + 13x + 3)}$

⟶ $\tt{3 {x}^{2} \{4 {x}^{2} + (12 + 1)x + 3} \}$

⟶ $\tt{3 {x}^{2} \{4 {x}^{2} + 12x + x + 3 \}}$

⟶ $\tt{3 {x}^{2} \{ \: 4x(x + 3) + 1(x + 3) \}}$

⟶ $\boxed{ \tt{3 {x}^{2} (x + 3)(4x + 1)} }$

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Answer 2

Answer:

B) 3x2(x + 3)(4x + 1)

Step-by-step explanation: