Question

I need help with diving using long division?

3x+5 -:-12x^(3)-5x^(2)-16x+2

Answer 1

Suppose you meant: `(12x^3-5x^2-16x+2)-:(3x+5)`

Ans: `4x^2-25/3x+77/6-367/(9(3x+5))`

Explanation:

`color(white)("dddddddddddd") 12x^3-5x^2-16x+2`
`color(red)(4x^2)(3x+5) ->ul(12x^3+20x^2 larr" Subtract")`
`color(white)("ddddddddddddd") 0 color(white)("dd") -25x^2-16x+2`
`color(red)(-(25x)/3)(3x+5)->color(white)("dd")ul(-25x^2-125/3 xlarr" Subtract" )`
`color(white)("dddddddddddddddddddd")0color(white)("dd")+77/3x+2`
`color(red)(77/9)(3x+5)->color(white)("ddddddddddddd")ul(77/3x+385/9larr" Sub.")`
`color(red)("Remainder "->color(white)("dddddddddddddd")0color(white)("d")-367/9)`

`color(red)(4x^2-25/3x+77/6-367/(9(3x+5))`