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    Basic Algebra

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    Quotient, remainder and polynomial equation

    1)Find the quotient,q(x) , and the remainder,r(x) , when 5x^3-20x^2+23x-5 is divided by x^2-3x+3. q(x)= r(x)= 2)Find the remainder when x^3-3x^2-6 is divided by x-3. 3)Solve the polynomial equation x^3-2x^2+3x-6=0 given that x=2 is one solution. The SUM of all the real solutions is_______

    real solutions of the equation

    1)Determine if the following statements are true or false: (1) If (3,0) is an x-intercept of f(x), then (x+3) is a factor of f(x). (2) If f(x) is a polynomial and f(9)=0 , then -9 is a zero of f(x). a)1 is true, 2 is false b)They are both false c)1 is false, 2 is true d)They are both true 2) Given that 3x

    Algebra To Find a Quotient and Remainder

    1) Find the quotient,q(x), and the remainder,r(x), when 3x^3+9x^2-16x-51 is divided by x^2+5x+7. q(x)= r(x)= 2) Solve: x^3-1/2x^2+4/3=11/3x^2-2/3x+4/3 The smallest zero is ________ The largest zero is _________ 3) Given that 3x-2 is a factor of 3x^3-2x^2-15x+10, select all of the following that are real solution

    Polynomial Function Factored Completely

    1) Factor completely: f(x)=x^3-3x^2-4x+12 _______________ 2) Find the remainder when x^3+2x^2+5 is divided by x-2. _______________ 3) Find an equation for a polynomial function, f(x) , of degree 3 with zeros 0, 1, -2. a) f(x)=x^3+x^2-2x b)f(x)=2x^3-3x^2+5x c)f(x)=x^3-5x^2+x d)f(x)=-2x^3+5x^2-3x

    polynomial equations.

    1). Find the quotient, q(x) , and remainder, r(x) , when x^6-2x^5+4x^3-x+1 is divided by x+1. a) q(x)=x^5-3x^4+3x^3+x^2-x, and r(x)=1 b) q(x)=x^5-x^4-x^3+3x^2+3x-2, and r(x)=-1 c) q(x)=x^5-3x^4+7x^3-8x^2+9, and r(x)=1 d) q(x)=x^5-x^4+3x^3+2x^2+3,and r(x)=-1 2)How do the zeros of g(x)=4x^4-2x^3+3x^2-4x-12 compare to the

    Ito's formula and Ito's isometry

    Hi, I have a question about martingale with respect to Brownian motion process, and I am looking for a detailed explanation. Thank you.

    Expressions

    Buying a Home For most people, buying a house is a great investment that can offer security in an uncertain world, but buying a house is also a commitment. Application Practice Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive b

    Algebra .

    1) Which of the following is/are TRUE for the graph of EVERY polynomial function? It must have either a minimum or a maximum value It must be continuous It must have a y-intercept It must have at least one x-intercept 2) Which of the following are odd degree polynomials? x(x-4)^2-11 x^3+x^2-4 (x^2+2)^5+2x x^5+x^7

    The maximum dosage of a drug

    1) A ball is hit into the air. Its height, s, at time t, is given by the equation s(t)=-16t^2+88t+3 . Determine the maximum height of the ball. Round to the nearest foot. _____feet 2)The maximum dosage of a drug that can be given to an individual is a function of the individual's weight. The following table gives the maximum

    Algebra: Word Problems on Fencing

    1)A rancher is going to construct a new rectangular pen for his emu farm. If he has 2600 feet of fencing, what is the maximum area of the pen? ____ft^2 2)A farmer is fencing a rectangular pen for his sheep using the straight portion of a river as one side of the rectangle. If the farmer has 1200 feet of fencing, find the d

    Quadratic equation in standard form

    Please find a quadratic equation in standard form to model the data in the table. x y 3 24 4 14 5 8 6 6 7 8 y= Another problem is A ball is hit into the air. Its height in feet, s, at time t is given by the equation s(t)=-16^2+25t+4. a) Determine the height of the ball after 1 second. The height is ___ feet.

    Quadratic Function for Completing the Square

    Rewrite the quadratic function y=2x^2+8x-5 in standard form by completing the square. y=_(x+_)^2-_ A quadratic function y=g(x) has x-intercepts at (2,0) and (18,0), and a leading coefficient of -5. Find the vertex of the graph of y=g(x) (__,__)

    Total Distance of Trip

    A driver makes a 126 mile trip from Phoenix to Tucson with the cruise control set at either 55 mph or 75 mph the whole way. If the trip took 2 hours, how long did the driver travel at 55 mph? ____Hours

    Solving for Y-Intercept using Functions

    Use the functions r(t), q(t), and s(t) given to answer the questions below. r(t)=sqrt (6t+4) q(t)=8t-1 s(t)=3-19t What is the y-intercept of y=(r-s)(t) (0, ) Compute (sos)(2x) (sos)(2x)= Use the functions r(t), q(t), and s(t) given to answer the questions below. r(t)=sqrt(4t+36) q(t)=6t-1 s(t)=2-11t What is t

    Functions and models of cost

    A wall is to be constructed around 3 sides of a rectangle of area 220 square yards, with a fence running the length of one side. The construction cost for the wall is $15 per linear yard, and $9 per linear yard for the fence. (a) Express the width, w of the rectangle as a function of the length, x, of the fence. w(x)= b)

    Algebraic equation - trajectory

    A community of penguins has created a slingshot device designed to help them spot fish below the ice while airborne. Pete the penguin is lobbed from an initial height of 6 feet above the ground. Pete's trajectory is given by the equation h(x)=-0.0138x^2+0.6x+6 where h(x) is Pete's height above the ground (in feet) and x is the h

    Intermediate Algebra

    Please provide solutions. Thank you. H81 1. To complete the square on x in x2 + 6x, find one-half of , square it to get , and add to get ________________ 2. Use factoring to solve the equation. 9y2 - 576 = 0 y = (smaller value) y = (larger value) 3. Use factoring to solve the equation. 4t - 3 = t2 t

    The graph of the equation

    1. Complete the table. y = 3x - 6 x y -2 0 3 2. Graph the equation. 3. Find the slope of the line that passes through the given points, if possible. (If the slope is undefined, enter UNDEFINED in the answer box.) 4. Determine the slope of the line in the following graph. The slope i

    Intermediate Algebra Practice Problems

    Intermediate Algebra - Practice Problems 1. Simplify 2a+5a-(6a+8) 2. Clear fractions or decimals, solve, and check 1.7t +8-1.62t=0.4t-0.32+8 3. Divide and check (24x^6 + 18x^4 + 8x^3) ÷ (4x^3) 4. Factor completely. If a polynomial is prime, state this 4x^2 - 25 5. Solve x^2 + 2x - 35 =0 25y^2 + 16 = 0 2

    Probability, Equations and Graphs

    1. A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be an S, U or N. Each number must be a 3 or 5. Repetition of digits is permitted. a. Use the counting principle to determine the number of points in the sample space. b. Construct a tree diagram to represent this equati

    Polynomial & Rational Functions.

    When a ball is thrown up into the air, it makes the shape of a parabola. The equation S= -16t^2 + v*t + k gives the height of the ball at any time, t in seconds, where â??vâ? is the initial velocity (speed) in ft/sec and â??kâ? is the initial height in feet (as if you were on top of a tower or building). Make up a sc

    Polynomial & Rational Expressions

    Part 1: Using the Library, web resources, and/or other materials, find a record-breaking temperature (in degrees Celsius) for a town or city in a country other than the United States. Include the name of the town and country along with the temperature, and what record was broken. Give the formula for converting degrees Celsius t

    Quantitive Methods

    A company, sells and repairs old bicycles and parts for replacement. Sell reconstructed pictures at a unit price of $ 50. The fixed cost of equipment for re construction of the tables is $ 500. The variable unit cost of material for each table is $ 10, in this example, s = 50, f = 500 v = 10. The number of boxes sold is = X. Cal

    Applying Quadratic Formula

    1. Solve by applying the Quadratic Formula; all radicals should be simplified as far as possible. Show your work. x2 + 4x + 13 = 0 2. 2. Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational soluti

    Step by step calculations for algebra problems

    a. Section 2.1 Exercises: Problem 94 1 7 4 ——s + —— = ——s 3 9 3 b. Section 2.2 Exercises: Problem 80 5 ( x - 3 ) = - 15 c. Section 2.3 Exercises: Problem 50 - 4 - 5p = - 4p Problem62 4 - 5 (w + 2) = 2(w

    Height difference, diameter of a circle, perimeter of a rectangle

    1. a red ball and a green ball are simultaneously tossed into the air. The red ball is given an initial velocity of 96 feet per second and its height t seconds after it is tossed is -16t to second power + 96 f feet. The green ball is given an initial velocity of 80 ft per second , and its height t seconds after it is tossed is

    Equation, linear inequality and slope

    Define the term equation and then explain what it means to solve an equation. Give an example of an equation and its solution. Explain why it is the solution. Define the term linear inequality and then explain what it means to solve a linear inequality. Explain how the solution to the inequality 2x-5<25 differs from the solut