Question

3x3 - 7x2 + 6x - 14 Explain

Answer 1

$\huge\text{Hey there!}$

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

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

$\bold{x^2(\dfrac{3x^3}{x^2}-\dfrac{7x^2}{x^2})+2(\dfrac{2\times3x}{2}-\dfrac{2\times7}{2})}$

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

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

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

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

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

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

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Answer 2

Answer:

Step-by-step explanation:

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

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