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3x3 - 7x2 + 6x - 14
Explain

3x3 7x2 6x 14 Explain class=

Sagot :

meredith48034

Answer:

Step-by-step explanation:

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

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

Amphitrite1040

[tex]\huge\text{Hey there!}[/tex]

[tex]\bold{Factor: 3x^3 -7x^2+6x -14}[/tex]

[tex]\bold{Step-by-step\downarrow}[/tex]

[tex]\bold{x^2(\dfrac{3x^3}{x^2}-\dfrac{7x^2}{x^2})+2(\dfrac{2\times3x}{2}-\dfrac{2\times7}{2})}[/tex]

[tex]\bold{= x^2(3x^{3-2}-7)+2(3x-7)}[/tex]

[tex]\bold{= x^2(3x-7)+2(3x-7)}[/tex]

[tex]\bold{= (3x-7)(\dfrac{x^2(3x-7)}{3x-7}+\dfrac{2(3x-7)}{3x-7})}[/tex]

[tex]\bold{= \underline{(3x -7)(x^2+2)}}[/tex]

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

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

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