Lesson 2 · Rational Root Theorem

Remainder Theorem Presentation

Optional MathematicsSubject
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Optional Mathematics, Class 10 · Polynomial

Remainder Theorem

Remainder without long division · R = f(a)

By the end of this lesson you can

📘

Say what a polynomial and its degree are

➗

Write the division relation f(x) = d(x) × q(x) + R

✍️

State and prove the remainder theorem

🎯

Find remainders and unknowns such as k

The four parts of a division

📦

Dividend f(x): the polynomial being divided

✂️

Divisor d(x): what we divide by

🧮

Quotient q(x): the result

🪙

Remainder R: what is left over

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Presenter notes: Today we find the remainder of a polynomial division without doing the division. By the end of the lesson one substitution will replace several lines of long division.