x to the fourth divided by one x to the third plus seven x square minus six x plus eight over x minus 2

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1 Answer

9x² +9x +5

3x-2 ) 27x³+9x²-3x-10

27x³-18x²

27x²-3x

27x²-18x

15x-10

ANSWER: 9x² +9x +5.

The question in the title needs to be clarified to resolve ambiguities in the wording.

A possible interpretation is:

[x⁴/(x³+7x²)]-[(6x+8)/(x-2)],

[x²/(x+7)]-[(6x+8)/(x-2)], (the parentheses clarify the meaning)

(x²(x-2)-(6x+8)(x+7))/((x+7)(x-2)),

(x³-2x²-6x²-50x-56)/((x+7)(x-2)),

(x³-8x²-50x-56)/(x²+5x-14). Now the long algebraic division:

x - 13 (quotient)

x²+5x-14 ) x³-8x² -50x - 56

x³+5x²-14x

-13x²-36x - 56

-13x²-65x+182

29x-238 (remainder)

Several other interpretations are possible.

answered Feb 6 by Rod Top Rated User (1.1m points)

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