The polynomial p is called the dividend; d is the divisor; q is the quotient; r is the remainder If r(x) = 0 then d is called a factor of p The proof of
S%26Z%203.2.pdf
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,
AMSG.11.Remainder%20and%20Factor%20Theorem.pdf
linear factors corresponding to the zeros x=1,2 and 4 That is, we'd expect to have the factors (x–1), (x–2) and (x–4) Proof of the factor theorem
6factors.pdf
by 3 + x using long division The Factor and Remainder Theorems When we divide a polynomial, p(x) by some divisor polynomial d(x), we will
Precalc3-4.pdf
Just as with numbers, if a remainder is 0, then the divisor is a factor of the dividend Example 1 Determining Factors by Division Divide to determine whether
synthetic_division.pdf
understand the definition of a zero of a polynomial function • use long and synthetic division to divide polynomials • use the remainder theorem
mth103fa13_chapter5.pdf
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
Alg2_6_5.pdf
Target: On completion of this worksheet you should be able to use the remainder and factor theorems to find factors of polynomials
A26remainder.pdf
Proof: Dividing p(x) by (x ? a), we get a quotient q(x) and a remainder R, which must be a constant We can then write p(x) as p(x)=(x ? a) · q(x) + R
remfact.pdf
= is substituted into a polynomial for x , and the remainder is 0, then ax ? is a factor of the polynomial 2 Using the above Theorem and your results from
PRACTICEe1factorRemainderTh.pdf