Factor x^3+x+1 over Z3

Q: Find a root of an equation f(x)=2x3-2x-5 using False Position method (regula falsi method).

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Q: Why is a third-degree polynomial function with a negative leading coefficient not appropriate for…

A: We know that a third-degree polynomial with a negative leading coefficient when used to model…

Q: Formulate the rational function that has a domain of  { x | x≠5}and range of { y |y≠6} and passes…

A: We need to find a rational function such that it will not be defined for the value x=5 and whose…

Q: 3. Express as a polynomial. Arrange your answer from term with highest degree to lowers degree *…

A: 3. (3x3+4x2-7x+1)+(9x3-4x2-6x) open all the brackets =3x3+4x2-7x+1+9x3-4x2-6x rewrite or arrange…

Q: The polynomial of degree 5, P(x)P(x), has leading coefficient 1, has roots of multiplicity 2 at…

A: Definition used -             A polynomial with the given degree, roots, and multiplicity of roots…

Q: POLYNOMIAL of degree 4 that has zeros 3,0,1,-5

A: We need to find the polynomial of degree 4 that has zeroes 3,0,1,-5

Q: Find a polynomial function of degree 4 with -3 as a zero of multiplicity 3 and 0 as a zero of…

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Q: Find the slopes of fourth order Runge Kutta method.

A: We need to find the slopes of fourth order Runge Kutta method.

Q: The Bisection method of finding roots of nonlinear equations falls under the category of . methods.…

A: The solution is (d)

Q: 3] Use Lagrange multiplier to find the dimensions that will maximize the area for rectangle whose…

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Q: The bisection method of finding roots of nonlinear equations falls under the category of a (an)…

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Q: Find the polynomial function of lowest degree with rational coefficients that has the given numbers…

A: Given zeros

Q: Find the dimensions of the rectangle of maximum area which can be laid out within a right triangle…

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Q: Using the equation f(x) = 3.14x2 – 10x + 2 and by using incremental search method, what is the…

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Q: Determine the first root of: f (x) = –13 – 20x + 19x2 – 3x³ with false position method using initial…

A: We have to determine the root of the given function within the given interval by using Bisection…

Q: The standard form of a linear nonlinear quadratic equation in two variables is represented as……….…

A: See the detailed solution below.

Q: 3. One side of rectangular field is adjacent to a river, for the other three sides 480m of fence are…

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Q: A rectangle has its two lower corners on the x-axis and its two upper corners on the curve y = 49 –…

A: Topic :- Application of Derivative

Q: 7. Find a polynomial of degree 3 with zeroes -3, 2 and 3, passing through the point (0, 12).

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Q: 1. Find non-negative numbers x and y such that x + y = 150 and ²y is maximized. 2. You are to…

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Q: A rectangle has its two lower corners on the x-axis and its two upper corners on the curve y 49 –…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 1. Without using Lagrange Multipliers, find three positive numbers whose sum is 100 and whose…

A: let the numbers be "x" and "y" Given the sum of numbers is 100  then  x+y=100                  Then…

Q: The average pollen count in a certain city on day x of the pollen season is P(x)=8x − 0.2x2 (for 0…

A: Consider the given function,  Represent the pollen count in a city on the day.   The day, which the…

Q: A rectangular is constructed with its base on the diameter of a semicircle with the radius of 6 feet…

A: Consider a rectangle with length of 2x and height is y.

Q: A rectangle is constructed with its base on the diameter of a semicircle with radius of 26 and with…

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Q: 2. Identify the approximate input values of any relative maximums and minimums of this 5th degree…

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: Solve by L'U decomposition method Xit522+Xるこ4 -31¢10X2-2X3=6 XI +4X2-2x3=-3

A: The given system of equations is. x1+5x2+x3=4-3x1+10x2-2x3=6x1+4x2-2x3=-3 This can be written as.…

Q: A rectangle has its two lower corners on the x-axis and its two upper corners on the curve y = 16 -…

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Q: 4. Is it possible for a 6th degree polynomial with real coefficients to have 6 imaginary solutions ?…

A: To explain about the polynomial

Q: 6. A square sheet of cardboard of side 12 in. square is used to make an open box by cutting out…

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Q: Find a root of an equation f(x) = x³ – x – 1 using False position method and bisection method.

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Q: The boundary of a field is a right triangle with a straight stream along its hypotenuse and with…

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Q: Find a polynomial Junction of lenst degree having only reil Coejficients with 3eros as giver 2

A: We need a polynomial having real coefficients with zeros at 2 and 1+i. We know that any non real…

Q: Both Trapezoidal Rule and Simpson's Rule give the same result when applied to any polynomial of…

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Q: 7. 3/2, -2, 1/3. -1 8. -2/3, -1/2, 2. -5, 1 9.-2. 5/2. 1/3, -3, 2

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: A rectangular field with one side along a river is to be fenced. Suppose that no fence is needed…

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Q: 4. Find the maximum value of x if f(x)=6cos(x)-3x²-2x. Using Quadratic Interpolation with a relative…

A: Solution...

Q: Find a cubic polynomial f(x)=ax3+bx2+cx+d that has horizontal tangents at the points (-5,4) and…

A: Let the cubic polynomial function be fx=ax3+bx2+cx+d. It is given that the function f(x) has…

Q: If the leading coefficient of an odd-degree polynomial function is positive, then the function…

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Q: A polynomial which goes through the point (1,4) and has zeros at x=0,x=3 and x=-2

A: Given:A polynomial pass through the point (1,4) and has zeroes at x=0, x=3 and x=-2.

Q: A rectangle is founded by the x-axis and the semicircle y = √ of 9 - x² what length and width should…

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Q: Minimize 3x2 - y2 using steepest descent method, with initial point (4,4) and give the values of ao,…

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Q: Solve by LU decomposition method Xi+5x2+X 3=4 -3x1+ 10X2-2X3=6

A: LU decomposition: If we have a square matrix A, then an upper triangular matrix U can be obtained…

Q: Find a 5th degree polynomial with zeros x = 3 + 2i, 1 − squareroot2, and −1 with a co-efficient of 4…

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Q: graph

A: Please refer to the image below

Q: The secant method of finding roots of nonlinear equations is categorized as a (an)_____ method. O…

A: To find- The secant method of finding roots of nonlinear equations is categorized as a (an)…

Q: Find the cxhreme Point and extreme direcbion region of the て-う + X2u5 2 (メメ): - 3X、 → X2c-2 -Xit…

A: We are given the following system of 2d Linear equations : -3x1 + x2 ≤ -2 -x1 + x2 ≤ 2 -x1 + 2x2 ≤ 8…

Q: Determine the root of: f(x) = -13 - 20x + 19x2 - 3x with False position method. Use initial guesses…

A: If fxl·fxu<0, then the root of the function fx lies between xl and xu.  To estimate the root by…

Q: A rectangle has one side on the xx-axis and two vertices on the curve y=2/(4+x^2) Find the vertices…

A: Given information:A rectangle has one side on the x-axis and two vertices on the curvey=2/(4+x^2)

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.