Question

Use the grouping method to factor the polynomial below completely X3 - 3x2 + 5x - 15

A. (x2 - 5)(x+3)

B. (x2 - 3)(x + 5)

C. (x2 + 3)(x - 5)

D. (x2 + 5)(x - 3) ​

Answer 1

D because d is the most appropriate answer

Answer 2

`\longrightarrow{\green{D.\:(x²+5)(x-3)}}`

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

`{x}^(3) - 3 {x}^(2) + 5x - 15`

Taking
`x²` as common from first two terms and 5 from last two terms, we have

`➝ \: {x}^(2) \: (x - 3) + 5 \: (x - 3)`

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

`➝ \: ( {x}^(2) + 5)(x - 3)`

`\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}`