Question

x^3+6x^2-5x by (x-2) by long division method

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Answer 1

$\frac{x^{3} + 6x^{2} - 5x }{(x-2) }$

x-2) x³+6x²-5x ( x² - 8x - 21

*****x³ - 2x²

_______________

********* 8x² - 5x

********** 8x² + 16x

_________________

**************** - 21x

**************** -21x + 42

____________________

**** Remainder (-42)

Therefore.,

$\red{\frac{x^{3} + 6x^{2} - 5x }{(x-2)} }$

$\green {= (x-2)(x^{2}-8x-21)-42 }$

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