Question

Divide using long division.


`(4x^(4) - 14x^(3) - 14x^(2) +110x -84)` ÷
`(2x^(2) +x - 12)`

Answer 1

The quotient = 2x² - 8x + 9 with remainder 5x + 24

Explanation:

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`(4x^(4)-14x^(3)-14x^(2)+110x-84)/(2x^(2)+x-12)=2x^(2)+(-16x^(3)+10x^(2)+110x-84)/(2x^(2)+x-12 )`

`(-16x^(3)+10x^(2)+110x-84)/(2x^(2)+x-12)=-8x+(18x^(2)+14x-84)/(2x^(2)+x-12)`

`(18x^(2)+14x-84)/(2x^(2)+x-12)=9+(5x+24)/(2x^(2)+x-12)`

The quotient = 2x² - 8x + 9 with remainder 5x + 24