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    IB Math AAHL
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    Polynomials
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    Polynomials

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    Consider the function g(x)=x4+2x3+px2+qx−4, where p,q∈R are constants. When g(x) is divided by (x−1), the remainder is −12, and when divided by (x+3) the remainder is 20. Find the values of p and q.

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    Lessons

    Feeling shaky on the material? Check out a lesson:

    Definition of polynomial and key terms. Operations with polynomials, and thinking about degree.

    Polynomial Basics

    Introduction to the notion and technique of dividing polynomials, and the factor and remainder theorems that apply to polynomial division.

    Polynomial division, factors and remainders

    The curves of cubic and quartic polynomials.

    Polynomial graphs

    Sum and product of polynomial roots and the conjugate root theorem.

    Polynomial roots