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

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

Explanation:

Answer 2

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

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)} }`

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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