Question

Please help me out this kind of confused me thank you in advance!

Answer 1

In the quotient
`x^4+2x^3+x^2+5x+10=0` , the coefficient of x is 5.

Explanation:

Given rational expression is
`(-x^5+3x^3-3x^2+20)/(x-2)`

Nicolette used synthetic division to solve the given rational expression.

Nicolette's work is given below:

Given that x-2 is a zero of given rational expression

By using synthetic division for the given rational expression.

2_| -1 0 3 -3 0 20

0 -2 -4 -2 -10 -20

____________________________

-1 -2 -1 -5 -10 | 0

Therefore the simplified expression can be written as below

`-x^4-2x^3-x^2-5x-10=0`

Taking negative sign outside.

`-(x^4+2x^3+x^2+5x+10)=0`

Multiply negative sign with "0" we get "0"

Therefore
`x^4+2x^3+x^2+5x+10=0`

In the quotient
`x^4+2x^3+x^2+5x+10=0`, the coefficient of x is 5.