Expanding a binomial

    • [DOC File]Yr 9 Lesson Plan – Term 3

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      Expanding expressions. Expanding binomial products. Factorising by common factors. Factorising by grouping. Factorising using difference of perfect squares. Algebraic fractions. A18a.5. A18b.5, A18b.6. A19.5, A19.6 ALGEBRA ASSESSMENT 1 GSHS Yr 9 Programme & Lesson Plan . Term 2. Activity Outcomes Links to Pointers Activities 1a Fractions and ratios

    • [DOC File]The Binomial Expansion

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      Use the binomial expansion (a + b)n = to expand each of the following binomials. 1. (x + 2y)5 2. (2x – y)4 . 3. (3x – 5y)4 4. (2x + 5y)7 . 5. Find the fourth term in the expansion of (2x – 3y)7. 6. Find the sixth term in the expansion of (4x + 3y)12. 7. Find the fourteenth term in the expansion of (3x + 5y)27. 8.

    • [DOCX File]www.hol.edu

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      Title: Expanding Binomials Using Pascal’s Triangle. Subject: Math. Grade: 9-12. Time: 55 min. Anticipatory Set: Set out a few French decorations. Ask students to name a few French places, foods, people, etc. Ask if students know a famous French mathematician. Objective: Students will define the terms binomial, coefficient, and variables.

    • [DOC File]Using Pascal’s Triangle to Expand Binomials

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      The binomial expansion is based on the summation of combination statements and varying powers of your binomial terms. (be careful with negative signs) Hint #1: Powers of each summation term will add to equal power of binomial expression (n) Hint #2: Combinations will always be paired with the power of the second term from the binomial (b) Hint #3:

    • [DOC File]RESIDUES OF GENERALIZED BINOMIAL

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      Expanding and , we have. Using the binomial theorem on the and terms, this equation may be further expanded, as follows:. In the second of the two summations, i is even, and so . Thus, the entire sum reduces to zero as well. In the first summation, . With this fact, and a simple re-indexing, the expression becomes

    • [DOC File]Richland Parish School Board

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      Expanding Binomials Discovery Worksheet: On this worksheet, the students will discover how to expand a binomial using both Pascal’s triangle and combinations. Distribute the Expanding Binomials Discovery Worksheet BLM and have students work in pairs on the Expanding Binomials section of the worksheet.

    • [DOC File]If –Then Postulates and Statements

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      Expanding a binomial using Pascal’s triangle. 1st Expand Should have one more term that the vale of the exponent. (6 terms) 2nd Then use Pascal’s triangle 6th row. 1 5 10 10 5 1. Try!! Ex1) Expand . Ex2) Expand. 1 4 6 4 1. Binomial Theorem – If n is a positive integer, then the following is true.

    • [DOC File]Expanding and factoring with Algebra Tiles

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      Binomial Expansion. We can use the method of area model to multiply two binomials as well. Consider the example (x + 3)(x + 2). We create a rectangular area with height (x + 3) units and width (x + 2) units. The solution is the area of the rectangle. The large square has dimensions x by x so its area is x2.

    • [DOC File]Binomial Theorem

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      Binomial Theorem Practice #2. Unit 1: Topic 4. IB Math SL. Answer the following: Use the first three terms in the expansion of (1 + x)4 to find an approximate value for 1.014. Find the coefficient of x3 in the expansion of (2x2 – )6. Find the constant term in the expansion of (x + )15.

    • [DOC File]Binomial Theorem - Mrs. Murphy's Website (Sweeney)

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      Expanding Polynomials and Binomial Theorem Practice. IB Math SL. Review: The first four terms of a sequence are 18, 54, 162, 486. Use all four terms to show that this is a geometric sequence. Find an expression for the nth term of this geometric sequence. If the nth term of the sequence is 1062882, find the value of n.

    • [DOC File]THE BINOMIAL EXPANSION - Mathematics with Mr Walters

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      THE BINOMIAL THEOREM. Expanding (a + b)n using Pascal’s Triangle is all very well if the value of n is not too large – but it is a real pain if n gets beyond 10 say! Using the 4th row of Pascal’s Triangle: 1 4 6 4 1. It can be shown that: Similarly the 5th row. 1 5 10 10 5 1 . can be shown to come from:

    • [DOC File]Binomial Theorem - Annapolis High School

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      Expand the following using the binomial theorem: (3 +)3 (2 –)4 (5a – 8)4 (4g + 7f)5 Write down the first three terms and the last two terms of the binomial expansion of: (1 + 2x)11 (3x +)15 (2x – )20 Find: the 6th term of (2x + 5)15 . the 4th term of (x2 + )9. the 10th term of (x – )17 . the 9th term of (2x2 - )21

    • [DOC File]EXPANDING BINOMIALS

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      Algebra II DATE_____PER_____ State the number of terms in each expansion and give the first two terms. 1. 2. 3. 4.

    • [DOC File]Unit #3: Investigating Quadratics (9 days + 1 jazz day + 1 ...

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      Students will explore various tools for expanding binomial expressions. The teacher will need to model the chart method for expanding binomials. Example: Expand and simplify: (x + 4)(x -3) (x + 4)(x -3) = x2 + 4x – 3x –12 = x2 + x - 12. Pairs ( A Simple Game. Students will use their expanding skills to complete the game.

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