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Proof of the Remainder Theorem

Mathematics · Class 11

Identity p(x)=(x-c)q(x)+R. At x=c the first piece dies. R is constant because the divisor is degree 1. That is the whole theorem.

p(c)=R
divide by x-c: remainder p(c)
just substitute
x+c -> p(-c)
PROOF OF THE REMAINDER THEOREM: Identity p(x)=(x-c)q(x)+R. At x=c the first piece dies. R is constant because the divisor is degree
WHY: Identity p(x)=(x-c)q(x)+R.
WHAT — PROOF OF THE REMAINDER THEOREM: Identity p(x)=(x-c)q(x)+R. At x=c the first piece dies. R is constant because the divisor is degree
WHY — Why it matters: This rule is a separate learning unit inside remainder theorem. It can be defined, applied, and chec

Right triangle — Proof of the Remainder Theorem — original sketch for this lesson (not copied from a textbook).