The Remainder Theorem states that the remainder of a polynomial \( f(x) \) when divided by \( x - c \) is equal to \( f(c) \). In the discussion, participants calculated the remainders for two specific polynomials: \( x^3 + 2x^2 - 5x - 3 \) divided by \( x - 2 \) yields a remainder of \( -3 \), while \( x^3 - 3x^2 - x + 3 \) divided by \( x - 3 \) results in a remainder of \( 0 \). These calculations demonstrate the practical application of the Remainder Theorem in simplifying polynomial division.
PREREQUISITESStudents of algebra, educators teaching polynomial functions, and anyone looking to enhance their understanding of polynomial division techniques.
You titled this "remainder theorem question". What does the "remainder theorem" say?Jordan1994 said:Q2.) Show all working out.
a) Find the remainder when $$x^3+2x^2-5x-3$$ is divided by $$x-2$$.
b) Find the remainder when $$x^3-3x^2-x+3$$ is divided by $$x-3$$.