Question

divide the polynomial by long division method x^3-4x^ 2+ x+ 6 by x- 3​

Answer 1

Answer:

ok dear

Step-by-step explanation:

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Answer 2

$\bold{\huge{\underline{\sf{ Given :}}}}$

$→devider = x - 3 \\ →dividend = {x}^{3} - 4 {x}^{2} + x + 6$

$\huge{\underline{\purple{\sf{Solution→}}}}$

x - 3) x³ - 4x² + x + 6 ( x² - x - 2

⠀⠀⠀ x³ - 3x²

⠀⠀(-) (+)

⠀⠀ ______________

⠀⠀⠀⠀⠀-x² + x

⠀⠀⠀⠀⠀-x² + 3x

⠀⠀⠀⠀ (+) (-)

⠀⠀_______________

⠀⠀⠀⠀⠀⠀⠀-2x + 6

⠀⠀⠀⠀⠀⠀⠀-2x + 6

⠀⠀⠀⠀⠀⠀(+) (-)

⠀⠀ ______________

⠀⠀⠀⠀⠀⠀⠀⠀⠀0

$\rule{200}{1}$

Hence :-

→Quotient = x² - x - 2

→Reminder = 0