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Answered

Factor and find the roots.

2x³-x²-13x-6

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Sagot :

JULIA120IN

Answer:

[tex](2x + 1) \times (x + 2) \times (x - 3)[/tex]

Step-by-step explanation:

[tex]2 {x}^{3} - {x}^{2} - 13x - 6[/tex]

[tex]2 {x}^{3} + {x}^{2} - 2 {x}^{2} = 13x - 6[/tex]

[tex]2 {x}^{3} + {x}^{2} - 2 {x}^{2} - x - 12x - 6[/tex]

[tex] {x}^{2} \times (2x + 1) - 2 {x}^{2} - x - 12x6[/tex]

[tex] {x}^{2} \times (2x + 1) - x \times (2x + 1) - 12x - 6[/tex]

[tex] {x}^{2} \times (2x + 1) - x \times (2x + 1) - 6(2x + 1)[/tex]

[tex](2x + 1) \times ( {x}^{2} - x - 6)[/tex]

[tex](2x + 1) \times ( {x}^{2} + 2x - 3x - 6)[/tex]

[tex](2x + 1) \times (x \times (x + 2) - 3x - 6)[/tex]

[tex](2x + 1) \times (x \times (x + 2) - 3(x + 2)[/tex]

ANSWER:

[tex](2x + 1) \times (x + 2) \times (x - 3)[/tex]

HOPE IT HELPS^^

GABRIELCUYAIN

(Factor and find the roots.  2x³-x²-13x-6)

Answer: x=-2, x=-1/2, x=3

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