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Irina18 [472]
4 years ago
12

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 for

m ​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

Mathematics
1 answer:
lilavasa [31]4 years ago
4 0

Answer:

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

Step-by-step 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\times Quotient+Remainder

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

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