A. Find 12/25 divide by 1/5 in two different ways. Explain your methods. b. Explain, using a diagram, how the following problems illustrate the two interpretations of division: partitive division ans measurement division. i. A road crew repaves 1 1/2 miles of road each day. How long will it take the crew to pave a 3/4 mile stretch of road? …

## Decipher the following CFQGE KAZEMF ZMAGVMC NMO VYSV

Decipher the following CFQGE KAZEMF ZMAGVMC NMO VYSV which was obtained by a formula of the type y=kx (mod 26)

## Find all the integers such that when the final digit is

Find all the integers such that when the final digit is deleted the new integer divides the original one. Can you generalize this to deleting other digits?

## Problem: Let f(x) and g(x) be nonzero polynomials in R[x] and assume that the leading coefficient of

Problem: Let f(x) and g(x) be nonzero polynomials in R[x] and assume that the leading coefficient of one of them is a unit. Show that f(x)g(x) doesn’t equal 0 and that deg[f(x)g(x)] = deg(f(x)) + deg(g(x))

## In the two-player game of Two Stacks, a deck of cards (with the joker added, for a total of 53 cards) is

In the two-player game of Two Stacks, a deck of cards (with the joker added, for a total of 53 cards) is randomly divided into two piles. The two players take turns removing cards from one pile or the other. On a player’s turn, that player may remove any positive number of cards from a single pile. The object of …

## F(x) = ln5 + ln(1-1/5x)

F(x) = ln5 + ln(1-1/5x) Using substitution in one of the standard Taylor series, find the Taylor series about f for 0. Give all terms up to the term in x^3.

## 1. The equation X^5 – 2X^4 – X^3 + 6X – 4 = 0 has a repeated root at X=1 and a root at X-2. By a process of division and

1. The equation X^5 – 2X^4 – X^3 + 6X – 4 = 0 has a repeated root at X=1 and a root at X-2. By a process of division and solving a quadratic equation, find all the roots and hence write down all the factors of X^5 – 2X^4 – X^3 + 6X – 4 2. Given that cosX= …

## Given A=(-1/2+isqrt(3)/2)^n

Given A=(-1/2+isqrt(3)/2)^n 1. Show that A is real for any natural n 2. Show that for n=3K where K is a natural number, A=2

## A. Solve the following questions involving fundamental operations on polynomials

A. Solve the following questions involving fundamental operations on polynomials a.Find p(x) + 4q(x) given p(x)=4×4 + 10×3 – 2×2 + 13 and q(x) = 2×4+ 5×2 – 3 b. Find P(-1/2) if P(x) = 2×4 + x3 + 12 c. Simplify: (-4 + x2 + 2×3) – (-6 – x + 3×3) – (-6y3 + y2) d. Add: (2×2 …

## 1.USE DESCARTES` RULE OF SIGNS TO DETERMINE THE POSSIBLE NUMBER OF POSITIVE REAL ZEROS OF THE FUNCTION

1.USE DESCARTES` RULE OF SIGNS TO DETERMINE THE POSSIBLE NUMBER OF POSITIVE REAL ZEROS OF THE FUNCTION. f(x)=3x cube-4x squared-2x-4 ANSWER: A.3 or 1 B.1 C.2 or 0 D.5, 3, OR 1 2.USE SYNTHETIC DIVISION TO COMPLETE THE INDICATED FACTORIZATION:x cube-7x-6=(x-3)( ) 3.USE SYNTHETIC DIVISION TO COMPLETE THE INDICATED FACTORIZATION: x forth -4x cube-19x squared +106x-120 = (x-3)( ) 4.USE …