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  1. The remainder theorem tells us that when a polynomial f ( x) is divided by ( αx – β ), the remainder is equal to f ( β / α ). This means that to find the remainder of the division, we have to evaluate the function using the β / α value, that is, the x value of the factor (the divisor).

  2. REMAINDER THEOREM PRACTICE QUESTIONS. (1) Check whether p (x) is a multiple of g (x) or not . p (x) = x 3 - 5x 2 + 4x - 3 ; g (x) = x – 2. Solution. (2) By remainder theorem, find the remainder when, p (x) is divided by g (x) where, (i) p (x) = x 3 - 2x 2 - 4x - 1 and g (x) = x + 1.

  3. REMAINDER THEOREM: Let 𝑃 be a polynomial function in 𝑥, and let 𝑎 be any real number. Then there exists a unique polynomial function 𝑞 such that the equation 𝑃(𝑥) = 𝑞(𝑥)(𝑥 − 𝑎)+ 𝑃(𝑎) is true for all 𝑥.

  4. Revision notes on 1.2.2 Factor & Remainder Theorem for the CIE A Level Maths: Pure 3 syllabus, written by the Maths experts at Save My Exams.

  5. Worksheet. Print Worksheet. 1. Use the Factor Theorem to determine which expression is a factor of the following polynomial: f ( x) = x3 - 2 x2 - 31 x - 28. ( x - 7) ( x + 7) ( x + 3) ( x -...

  6. There are three sets of factor theorem and remainder theorem worksheets: Using Factor Theorem; Using Remainder Theorem; Divide Polynomials; Examples, solutions, videos, and worksheets to help Algebra II students learn about the remainder theorem and the remainder theorem.

  7. Microsoft Teams. About. Transcript. The polynomial remainder theorem says that for a polynomial p (x) and a number a, the remainder on division by (x-a) is p (a). This might not be very clear right now, but you will understand this much better after watching these examples. Questions. Tips & Thanks. Want to join the conversation? Log in. Sort by:

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