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Simplify (2x^3+8x^2+17x+18)/(x+2)

(x+2) | (2x³+8x²+17x+18)

= 2x²+4x+9

Answered by Steven P. • Further Mathematics tutor

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The infinite series C and S are defined C = acos(x) + a^2cos(2x) + a^3cos(3x) + ..., and S = asin(x) + a^2sin(2x) + a^3sin(3x) + ... where a is a real number and |a| < 1. By considering C+iS, show that S = asin(x)/(1 - 2acos(x) + a^2), and find C.

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Simplify (2x^3+8x^2+17x+18)/(x+2)

Related Further Mathematics A Level answers

The infinite series C and S are defined C = acos(x) + a^2cos(2x) + a^3cos(3x) + ..., and S = asin(x) + a^2sin(2x) + a^3sin(3x) + ... where a is a real number and |a| < 1. By considering C+iS, show that S = asin(x)/(1 - 2acos(x) + a^2), and find C.

How do you find the determinant of a matrix?

Given M = [[-2,6],[1,3]], find P and D such that M = PDP^(-1) where D is a diagonal matrix

How do I solve x^2 + x - 6 > 0 ?

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Simplify (2x^3+8x^2+17x+18)/(x+2)

Related Further Mathematics A Level answers

The infinite series C and S are defined C = a*cos(x) + a^2*cos(2x) + a^3*cos(3x) + ..., and S = a*sin(x) + a^2*sin(2x) + a^3*sin(3x) + ... where a is a real number and |a| < 1. By considering C+iS, show that S = a*sin(x)/(1 - 2a*cos(x) + a^2), and find C.

How do you find the determinant of a matrix?

Given M = [[-2,6],[1,3]], find P and D such that M = PDP^(-1) where D is a diagonal matrix

How do I solve x^2 + x - 6 > 0 ?

We're here to help

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Popular Requests

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MyTutor is part of the IXL family of brands:

IXL

Rosetta Stone

Wyzant

Education.com

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Dictionary.com

SpanishDictionary.com

FrenchDictionary.com

Ingles.com

ABCya

© 2026 by IXL Learning

The infinite series C and S are defined C = acos(x) + a^2cos(2x) + a^3cos(3x) + ..., and S = asin(x) + a^2sin(2x) + a^3sin(3x) + ... where a is a real number and |a| < 1. By considering C+iS, show that S = asin(x)/(1 - 2acos(x) + a^2), and find C.