Question

Use long division to find the quotient​ Q(x) and the remainder​ R(x) when​ P(x) is divided by​ d(x) and express​ P(x) in the form ​d(x) times •​Q(x)plus+​R(x).

​P(x=x^3 + 2x^2 - 11 x + 471
​ d(x)=x+9

​P(x)=​(x+9) (blank) + blank

Answer 1

`P(x)=(x+9)(x^2-7x+52)+3`

Explanation:

We are given that

`P(x)=x^3+2x^2-11x+471`

`d(x)=x+9`

We have to find the value of Q(x) and Remainder R(x).

Quotient,
`Q(x)=x^2-7x+52`

Remainder,
`R(x)=3`

We know that

`Dividend=Divisor* Quotient+Remainder`

`P(x)=(x+9)(x^2-7x+52)+3`