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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

Respuesta :

lublana

Answer:

[tex]P(x)=(x+9)(x^2-7x+52)+3[/tex]

Step-by-step explanation:

We are given that

[tex]P(x)=x^3+2x^2-11x+471[/tex]

[tex]d(x)=x+9[/tex]

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

Quotient, [tex]Q(x)=x^2-7x+52[/tex]

Remainder,[tex]R(x)=3[/tex]

We know that

[tex]Dividend=Divisor\times Quotient+Remainder[/tex]

[tex]P(x)=(x+9)(x^2-7x+52)+3[/tex]

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