Question

Can someone help me out please?

Answer 1

I tried this:

Explanation:

Have a look:

Answer 2

`8x^2+8x+10+13/(x-1)`

Explanation:

`"another way to do division is to use the divisor as a"`
`"factor in the numerator"`

`"consider the numerator"`

`color(red)(8x^2)(x-1)color(magenta)(+8x^2)+2x+3`

`=color(red)(8x^2)(x-1)color(red)(+8x)(x-1)color(magenta)(+8x)+2x+3`

`=color(red)(8x^2)(x-1)color(red)+8x)(x-1)color(red)(+10)(x-1)color(magenta)(+10)+3`

`=color(red)(8x^2)(x-1)color(red)(+8x)(x-1)color(red)(+10)(x-1+13`

`"quotient "=color(red)(8x^2+8x+10)," remainder "=13`

`rArr(8x^3+2x+3)/(x-1)=8x^2+8x+10+13/(x-1)`