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4 votes
4 votes
F(x) = 6x³ - 23x² - 6x + 8 if (x-4)

User StackKrish
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1 Answer

13 votes
13 votes

Answer:

(x - 4) (2x - 1)(3x + 2)

Explanation:

Dividing:

x - 4)6x^3 - 23x^2 - 6x + 8 (6x^2 + x- 2 <----Quotient

6x^3 -24x^2

x^2 - 6x

x^2 - 4x

-2x + 8

-2x + 8

6x^2 + x - 2

= 6x^2 - 3x + 4x - 2

= 3x(2x - 1) + 2(2x - 1)

= (3x + 2)(2x - 1)

User Zarel
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