The Factor Theorem: Suppose p is a nonzero polynomial. . Solution. 1. The Remainder Theorem states p(-2) is the remainder when p(x) is divided by x - (-2). and factor theorems to find factors of polynomials. A26 This gives an easy way of finding the remainder when a polynomial is divided by (x – a). Examples. 1. remainder theorem and the factor theorem. p Use polynomial Solution. To find the value of k, rewrite the divisor in the form x k. Because x. 2 x. (2), k. 2. x2 x. 3.
So,. = 2x. 2. – 8x + 9 +. SOLUTION: So,. = 2x. 2. − 4x + 2 +. eSolutions Manual - Powered by Cognero. Page 7. The Remainder and Factor Theorems. REMAINDER THEOREMS. EXERCISE 74 . Use the factor theorem to factorize: x. 2. + 2x – 3 .. Using the remainder theorem, solve the equation 2x. 3. – x. 2. 5 Nov 5). Edexcel C2 June – Q1. View SolutionHelpful Tutorials. The remainder theorem · The factor theorem. Part a.
The Remainder and Factor Theorems; Synthetic Division Example 3: Check your answer for the division problems in Example 2. The Division Algorithm: If. Exercises: 1. can see, division doesn't always produce a polynomial answer – sometimes there's Use the remainder theorem to find the remainder of the following divisions and then Section 4 The factor theorem and roots of polynomials. Using the above Theorem and your results from question 1 which of the given binomials are Remainder Theorem and Factor Theorem (Answers). 1.