Let p(x)=x'- 2x² +x-2. Find all the zeros of p(x) and factor p(x) completely.

Q: The function given by f(x) = -3x + V2x + -x (is/is not) a polynomial function.

A: A polynomial is a function such as quadratic, cubic and so on which involve only non-negative…

Q: b.) Find the root of f(x) = 2x³-5x+2 using Method of successive substitution. (Allowable error <…

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Q: Find a polynomial equation of the least possible degree with integral coefficients whose roots are…

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Q: Discuss separability of the polynomial <³ +2ײ+3 3 over Jh5

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Q: Find the area of a triangle bounded by the yy axis, the line f(x)=9−27xf(x)=9-27x, and the line…

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Q: Your polynomial should have. Degree 4 Roots at -2, -4 and 3 f(x) approaches negative infinity as x…

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Q: Find the potential rational zero of f(x)=5x^(4)+2x^(2)-6x-5.

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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 an equation of polynomial function with real coefficients having zeros at 3,-1,4+2i

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Q: 9. Create the equation of a polynomial function where the instantaneous rate of change is equal to 0…

A: A polynomial is one of three basic mathematical functions. This function is widely used in different…

Q: Factor f(x)=2x^3+5x^2-83x+40 into linear fuctors given that -8 is a zero of f(x)…

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Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions as : n…

A: Since 1 and i are the zeroes of the polynomial, therefore

Q: Determine the real root of f(x)= 4x^2 - 10x + 4.  Iterate until the estimated error falls equal or…

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Q: Let f(x) = x' + 2x + 4 and g(x) - 3x + 2 in Z,[x]. Then, upon dividing f(x) by glx), we get 7- The…

A: I am solving part7 &amp; part8 as you mentioned.

Q: Find an equation of the cubic polynomial f(x) = ax3 + bx2 + cx + d that passes through the given…

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Q: Suppose if we use a linear Lagrange polynomial, differentiate and evaluate at x = x0 what formula…

A: Consider the general equation for the linear Lagrange polynomial function and two points.…

Q: Apply Newton's forward formula to obtain a third-degree polynomial that interpolates y = 2 cos(nx)…

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Q: 2.1,2.-5, I 3. 9.)-2, 5 -3. 2 2 3 169-4,2 -3.4 .3,¢ 2

A: Note:- according to the company policy we can attempt ?️ only one question so please upload the next…

Q: 5x^2−3x−8 has roots at x=

A: Consider the quadratic equation To find - roots

Q: sin

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Q: Express the polynomial x3 + 2x + 3 EZŞ[x]as a product of irreducible polynomials of Z5[x].

A: Explanation of the answer is as follows

Q: 9.)-2, 5 -3.2 3

A: Since you have posted a multiple question according to guildlines I will solve first question (i.e…

Q: (4) Suppose the coefficients of the cubic polynomial p(x) = a + bx + cx² + dx³ satisfy the equation…

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Q: OFind a root of an equation f(x)=2x-2x-5 using Newtor aphson Method

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Q: Find a polynomial equation of the least possible degree with integral coefficients whose roots are…

A: Given: Let us determine the polynomial equation of the least possible degree with integral…

Q: 2. Determine the polynomial equation with integral coefficients whose roots are -1, -2, and -3.

A: Answer and explanation is given below

Q: Find Absolute Extremums of F(x)=2x^3-6x over [0,3]

A: To find the absolute extremums of the function F(x)=2x3-6x over [0,3]

Q: Find a cubic polynomial f(x)=ax^3+bx^2+cx+d that has horizontal tangents at the points (-3,2) and…

A: Given f(x)= ax^3+bx^2+cx+d that has the horizontal tangents at points (-3,2) and (2,-4). We need to…

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: Find a degree 4 polynomial having zeros −7, −3, 1 and 6 and the coefficient of x4 equal 1

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Q: Using Taylor's theorem, formally represent 2x° +x* – 3x³ +x² – 5x +1 as x+1.

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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: Find an 4th degree polynomial function with real coefficients whose zeros are 4,–1,2, v2i and a…

A: Here degree of polynomial is 4 so it has 4 roots.

Q: Use the Intermediate Value Theorem to prove that 8sinx = x has a solution between and a. 2

A: Let us consider a function f(x)= 8sinx-x

Q: does there exist a polynomial of degree 3 with real coefficients that has zeros 1, -1, and i?

A: Consider the given roots. 1,-1, i and -i for complex roots. Now, make the polynomial.…

Q: Find three positive numbers x, y, and z whose sum is 21 and product is a maximum.

A: There are two different questions in the image. According to our guidelines, we can solve only one…

Q: Which type of polynomial satisfies f ,,, (x) = 0 for all x?

A: Let f(x) be a polynomial such that f'''(x)=0 for all x Integrating both sides ,we get Again…

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: Let f(x) is the polynomial of degree 4 whose coefficients are real numbers; two of its zeros are –3…

A: The zeros of a polynomial px is the value of x at which px=0. The number of zeros of a polynomial is…

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: Does there exist a polynomial of degree 4 with real coefficients that has zeros i, 2i, 3i and 4i?…

A: Given statement : Does there exist a polynomial of degree 4 with real coefficients that has zeros i,…

Q: Find a polynomial f (x) of degree 3 that has the following zeros. 0, -2, 1 Leave your answer in…

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Q: Plot the zeros of each polynomial on a line together with the zeros of its first derivative. i) y =…

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Q: Find the critical number of f(x) = 3x^2 - 18x + 4

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Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A: Given: y = 2x2 -8x +9 To find: The extreme values of the function over it's natural domain, and…

Q: Find a polynomial of degree 4 with integer coefficients that has -2 as its only real zero and (1/3)i…

A: A polynomial of degree 4 with integer coefficients that has -2 as its only real zero. Which implies…

Q: Q1: Prove that the equation x2 = 7 has a unique positive real root. %3D

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Q: Give one example of a polynomial of degree that has a zero at x=5 with multiplicity 2

A: zero at x=5 with multiplicity 2

Q: a) f(x)=-x- 13x²+3x – 9 Туре of polynomial Degree Sign of leading End behaviours Domain сoefficient

A: given that f(x)=-14x3-13x2+3x-9