Question

Use the Tabular Method to find the quotient of the polynomials shown below

Answer 1

Given:

`(x^3+2x^2+2x+1)/(x+1)`

Required:

We need to find the quotient.

Step-by-step explanation:

`Numerator\text{ -}x^3+2x^2+2x+1`
`Denominator-x+1.`

The degree of the denominator is 1.

The number of rows = 1+1=2.

The degree of the numerator is 3.

The niumber of columns = 3-1+1 =3.

`Use\text{ }x* x^2=x^3.`
`Use\text{ 1}*1=1.`

`2x^2-x^2=x^2\text{ and use x}* x=x^2.\text{ }`

The quotient of the polynomials

`x^2+x+1`

Final answer:

`(x^3+2x^2+2x+1)/(x+1)=x^2+x+1`