5. Remainder Theroem 1. June 1986 Paper 2 #1 (16 marks) a) Find the remainder when x³ + 3x – 2 is divided by x + 2 [2] b) Find the value of a for which (1 – 2a) x² + 5ax + (a – 1)(a – 8) is divisible by x – 2 but not by x – 1. [7] c) Given that 16x4 – 4x³ – 4b²x² + 7bx + 18 is divisible by 2x + b‚ i) show that b³ – 7b² + 36 = 0 [3] ii) find the possible values of b [4] 2. June 1987 Paper 2 #1 (16 marks) a) Given that f(x) = x³ – 7x + 6 i) calculate the remainder when f(x) is divided by
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The Laws of exponents Study Guide…page 1 of 3 Base Number: The number that multiplies by itself as many times as the exponent tells it to. Exponent: The small number that tells the base number how many times to multiply by itself. NOTE: numbers and variables without exponents actually have an invisible 1 as their exponent. | | | |Multiplying exponents
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Test Plan A test plan is used to provoke a system to fail in order to be able to make improvements to the system to prevent these mistakes from happening again. By testing the main aspects of my spreadsheet‚ I am able to prove that my spreadsheet works or fails and make amends to my spreadsheet to prevent errors in the future. |TEST NO |TESTS |EXPECTED RESULT |OUTCOME | |1 |When the
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No: 1 The Life Path 1 drive in this life is characterized by individualist desires‚ independence‚ and the need for personal attainment. The purpose to be fulfilled on this Life Path is that of becoming independent. This is a two part learning process; first‚ you must learn to stand on your own two feet and learn not to depend on others. After you are indeed free and independent‚ you must learn to be a leader. Many of our Generals‚ corporate leaders‚ and political leaders are men and women having
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I did survey about the taking lose weight supplement of fat university students‚ and I think you will find the results very interesting. For my survey‚ I interviewed twenty fat students of university aged eighteen to twenty-three. The group has ten women and ten men. Now‚ I will report the result of my survey. First‚ I asked them "Have you ever take lose weight supplement?". Sixty-five percent of this group said "Yes" but thirty-five percent said "No". So‚ I asked the fat students ever
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Articles from General Knowledge Today National Food Security Mission 2011-06-10 08:06:38 GKToday National Food Security Mission (NFSM) is a Central Scheme of GOI launched in 2007 for 5 years to increase production and productivity of wheat‚ rice and pulses on a sustainable basis so as to ensure food security of the country. The aim is to bridge the yield gap in respect of these crops through dissemination of improved technologies and farm management practices. Salient Features: According
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The aim of this guide is to teach you the basics of using a range of formulas in Microsoft Office Excel; this guide covers the following formulas: Addition; Subtraction‚ Multiplication‚ Division‚ Average & Percentage. TIP: Use cell references in formulas instead of manually inputting numeric data: You can use numbers directly in a formula‚ but it’s much better to use the references of the cells (A1‚ B1 & C1 etc.) containing the numbers you want to use. As briefly explained above its quicker to
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Class Number 13 – 16 IV – St. Hannibal 1. Find m if x3 + 3x2 – mx + 4 leaves a remainder of m when divided by x – 2. 23 + 3(2)2 – m(2) + 4 = m 8 + 12 – 2m +4 = m -3m = -24 -3 -3 m = 8 2. When the expression 6x2 – 2x +3 is divided by x –a‚ the remainder is 3. Find the value of a. 6a2 – 2a + 3 = 3 6a2 – 2a = 0 6a2 = 2a 6a 6a a = 3. The expression x4 + x3 + 2mx2 – 14m4 leaves a remainder of 32 when divided by x + 2m. Find the possible
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POW 1: Broken Eggs BY: Geordan Nichols IMP Period 4-5 September 19‚ 2013 – October 2‚ 2013 Part one: Problem Statement A farmer is taking her eggs to the market in her cart when she hits a pot hole. When she goes to check on her eggs and they all broke! So she goes to claim her insurance. The agent asks how many eggs were in her cart and she does not remember! The only thing she could remember is that if she put the eggs in groups of seven
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Part 1. Describe the order of operations and explain how it is used to simplify expressions. Explain specifically the order in which mathematical operations must be performed to correctly simplify an expression. The order of operations is a rule that always applies to mathematical problems. It includes addition‚ subtraction‚ multiplication and division as well as grouping of numbers (such as in parentheses and powers). It gives a definite order of how to do a problem involving multiple operations
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