Question

3x3 - 7x2 + 6x - 14
Explain

Answer 1

Explanation:

x^2(3x - 7) + 2(3x - 7)

(x^2 + 2)(3x - 7)

Answer 2

`\huge\text{Hey there!}`

`\bold{Factor: 3x^3 -7x^2+6x -14}`

`\bold{Step-by-step\downarrow}`

`\bold{x^2((3x^3)/(x^2)-(7x^2)/(x^2))+2((2*3x)/(2)-(2*7)/(2))}`

`\bold{= x^2(3x^(3-2)-7)+2(3x-7)}`

`\bold{= x^2(3x-7)+2(3x-7)}`

`\bold{= (3x-7)((x^2(3x-7))/(3x-7)+(2(3x-7))/(3x-7))}`

`\bold{= \underline{(3x -7)(x^2+2)}}`

`\boxed{\boxed{\bold{Answer: (x^2+2)(3x-7)}}}\huge\checkmark`
`\underline\bold{(Option\ C.)}`

`\large\text{Good luck on your assignment and enjoy your day!}`

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`\frak{Amphitrite1040:)}`