Question

Factor this polynomial expression. 2X2 + 12x + 18

A. 2(x+3)(x+3)

B. 2(x - 3)(x-3)

c. 2(x+3)(x - 3)

D. (2x + 9)(x+2) ​

Answer 1

`\longrightarrow{\green{A.\:2 \: ( x + 3)(x + 3) }}`

`\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}`

`2 {x}^(2) + 12x + 18`

Taking 2 as common factor, we have

`= 2 \: ( {x}^(2) + 6x + 9) \\ = 2 \: ( {x}^(2) + 3x + 3x + 9)`

Next, we take
`x` as common from first two terms and 3 from last two terms,

`= 2 \: [x(x + 3) + 3(x + 3)]`

Taking the factor
`(x+3)` as common,

`= 2 \: ( x + 3)(x + 3)`

`\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}`