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[DOC File]Algebra 2, with Trig
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3.2 Analyzing Polynomial Graphs. 3.3 Zeros of Polynomials. 3.4 Fundamental theorem of Algebra. 3.5 Graphs of Rational Functions ~ November 2013 ~ Sun Mon Tue Wed Thu Fri Sat 14 B. 3.1 “The Remainder and Factor Theorems” Long Division. HW 3.1 Long Division 15 A. 3.1 “The Remainder and Factor Theorems” Long Division. HW 3.1 Long Division 16 . 17 18 B. 3.1 “The Remainder and …
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[DOC File]PED-HSM11A2TR-08-1103-005-L01.indd
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What is the quotient and remainder? Use polynomial long division to divide 2x2 + 6x ( 7 by x + 1. Step 1 . To find the first term of the quotient, divide the highest-degree term of 2x2 + 6x + 7 by the highest-degree term of the divisor, x + 1. Circle these terms before dividing. Step 2 . Multiply x + 1 by the new term, 2x, in the quotient. 2x(x + 1) = 2x2 + 2x. Align like terms. Step 3 ...
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[DOC File]Unit x: Day x: Title
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Examine remainders of polynomial division and connect to the remainder theorem. Make connections between the polynomial function f(x), the divisor x –a, the remainder of the division f(x)/(x-a) and f(a) using technology . Identify the factor theorem as a special case of the remainder theorem. Factor polynomial expressions in one variable of degree greater than two. Materials. BLM 1.9.1. BLM ...
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[DOC File]Division of Polynomials
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Theorem: The remainder after dividing two polynomials is either the zero polynomial or a polynomial of degree less than the degree of the divisor. Practice Exercise 2: Find the quotient and remainder when: 1. x3 + 3x2 – 7x + 4 is divided by x + 2. 2. x4 – 81 is divided by x2 + 9. 3. 2x3 – 2x2 + 7x is divided by 2x – 2
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[DOCX File]Math 3 Unit 3a: Polynomial and Rational Representations
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The analogy between polynomials and integers carries over to the idea of division with remainder. Just as in Grade 4 students find quotients and remainders of integers, in high school they find quotients and remainders of polynomials. The method of polynomial long division is analogous to, and simpler than, the method of integer long division.
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[DOC File]LESSON X
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Thus, the quotient function is and the remainder function is. These are the same answers that we obtained above using long division. This process is called synthetic division. Synthetic division can only be used to divide a polynomial by another polynomial of degree one with a …
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[DOC File]LESSON 5 - Remainder Theorem and Factor Theorem
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Polynomial is an expression containing more than 2 algebraic terms. Well, we can also divide polynomials. f(x) ÷ g(x) = q(x) with a remainder of r(x) But it is better to write it as a sum like this: I can show you this in an example using Polynomial Long Division: Example: 2x2-5x-1 divided by x-3. f(x) is 2x2-5x-1. g(x) is x-3
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Remainder in polynomial long division