In this case, The Remainder Theorem tells us the remainder when p(x) is divided by (x - c), namely p(c), is 0, which means (x - c) is a factor of p What we
1 Factorise polynomial expressions 2 3 2 Divide a polynomial by a linear or quadratic factor 2 3 3 Apply the remainder theorem 2 3 4 Apply the factor theorem
In this section, we will learn to use the remainder and factor theorems to factorise and to solve polynomials that are of degree higher than 2 Before doing so,
There are two important theorems to be applied when factoring polynomials: Remainder Theorem: When a polynomial, f(x), is divided by x - a, the remainder is
(Hint: Refer to Example 6 ) Page 3 Page 3 (Section 5 1) Remainder Theorem Factor Theorem
Section 3 4 Factor Theorem and Remainder Theorem In the last section, we limited ourselves to finding the intercepts, or zeros, of polynomials
Corollary (The Factor Theorem) A polynomial f(x) has (x b a) as a factor if and only if f(a) = 0 The Remainder Theorem follows immediately from the
Target: On completion of this worksheet you should be able to use the remainder and factor theorems to find factors of polynomials
10/9/2019 3 2 1 https://math libretexts org/link?3990 3 2: THE FACTOR THEOREM AND THE REMAINDER THEOREM Suppose we wish to find the zeros of
Chapter 3 194 Section 3 4 Factor Theorem and Remainder Theorem In the last section, we limited ourselves to finding the intercepts, or zeros, of polynomials
Theorems Goals p Divide polynomials and relate the result to the remainder theorem and the factor theorem p Use polynomial division in real-life problems 6 5
(Hint: Refer to Example 6 ) Page 3 Page 3 (Section 5 1) Remainder Theorem Factor Theorem
Use the Remainder and Factor Theorems 4 What You Should Learn Use the Rational Zero Test to determine possible rational zeros of polynomial functions