Find an nth-degree polynomial function with real coefficients satisfying the given conditions. n=4; i and 4 i are zeros; f(- 2) = 100 Tes f(x) = (Type an expression using x as the variable. Simplify your answer.)

Q: (d) -2,1 (e) 1-i,1+i (f) 0,2,–3

A:

Q: f(x) =( x^2-1)(x-1)

A:

Q: The coefficient of x' in the cubic polynomial g(x) is a, where a >0. The repeated roots of the…

A:

Q: Write an equation of the 4th degree polynomial function h(x) with rea coefficients that meets the…

A: We have to find an equation of the 4th-degree polynomial function with zeros atx=2,-3, and 2i, with…

Q: Find the roots using Bairstow's method of the function f (x) = x4 – 2x3 + 2x2 + 3x – 4. -

A: Given function is  f(x) = x4 - 2x3 + 2x2 + 3x - 4 Find the roots of the polynomial using Bairstow's…

Q: Find a polynomial function f of degree 4 whose coefficients are real numbers that has the zeros…

A: Given: Zeros of polynomials are 1,1,and -4+i.

Q: Find a fourth-degree polynomial function f(x) with real coefficients that has -1, 1, and i as zeros…

A:

Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4; zeros –1,…

A:

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

A:

Q: Find a polynomial of degree 3 that has zeros x = 5 and x = 3i .

A:

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

A:

Q: Degree: 4 ; Roots: x=0, x=i

A:

Q: find the function P defined by a polynomial of degree 3 with real cooefficients that satisfy the…

A: find the function P defined by a polynomial of degree 3 with real cooefficients that satisfy the…

Q: Find a polynomial function of degree 3 with real coefficients that has the given zeros. - 1, 2,-3…

A:

Q: Solve for all the roots of x using Bairstow’s Method starting at r1 = 0.25 and s1 = 8.75 of the…

A: Solution:-

Q: Find a polynomial function f(x) with integer coefficients and leading coefficient 1, such that f(x)…

A: The aim is to find the polynomial function px with integer coefficients and leading coefficient as…

Q: Find a polynomial function f(x) with integer coefficients and leading coefficient 1, such that f(x)…

A: We have to find function

Q: In Problem,explain why the facts given are contradictory.

A: Zero of a function is a point in its domain for which the function takes the value equal to 0. A…

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

A: n=4, zeroes are -4, 13, 2+3i and f1=100. Since 2+3i is the zero of the polynomial function,…

Q: Find a polynomial f (x) of degree 5 that has the following zeros. 3, -4 (multiplicity 2), 7, -2…

A: Find a polynomial F(x) of degree 5that has the following Zeros3,-4 (multiplicity 2) , 7,-2

Q: Given the function b(x)=evcosx+x, what is the approximated value of b(0.20)? Solve by utilizing the…

A:

Q: Write a polynomial function of least degree with integral coefficients that has the given zeros. for…

A:

Q: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. 3, 4i

A:

Q: - The of a polynomial f(x) are the solutions (or roots) of the equation f(x) = 0.

A: Suppose, f(x)= x2-3x+2 is a polynomial. So, to find the solutions or roots or zeroes of this…

Q: Start with p =-1.5 and p, =-1.52 and use the secant method to find the root p=-1521of the polynomial…

A: p0 = -1.5 p1 = -1.52 f(x) = x3 - x + 2

Q: Find an nth degree polynomial function with real coefficients satisfying the given conditions. 15) n…

A:

Q: C) Find a polynomial of degree 2 that has two irrational zeros

A:

Q: Ex1: Find the first seven root of the polynomial equation f (x) = 2x³ - 9x² + 12x – 6 using (a)…

A: given : f(x) =2 x3-9 x2 +12 x -6  Newton Raphson method  formula : xk+1=xk-f(xk)f'(xk)…

Q: (b) Find a polynomial function of degree 4 whose zeros: -i; 3 (multiplicity 2).

A:

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

A: the given conditions are: n=4; 2(with multiplicity 2) and 3i are zeroes, f(0)=36 we have to find an…

Q: Find the quadratic polynomial g(x) = ax² + bx + c which best fits the function f(x) = e* at x = 0,…

A: We have to first need to find value of g(x).

Q: Find a polynomial f (x) of degree 3 that has the indicated zeros and satisfies the given condition.

A:

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

A: To find the polynomial

Q: Find a possible formula for a polynomial with degree n=2 and the zeros are x = 4 and x =-5.

A: It is given that, degree n=2 and the zeros are x=4 and x=-5 We have to find formula for a polynomial…

Q: Find the formula of f(x) a polynomial function of a least degree

A: At x=-4 the curve cuts the x-axis. So x=-4 has multiplicity=1 So the factor is (x-(-4))=(x+4)   At…

Q: Find a polynomial f (x) of degree 4 that has the following zeros. 7 (multiplicity 2), –3, 0 Leave…

A:

Q: Find an equation for a polynomial f(x) that satisfies the following: Degree 3 Zero at x=3 Zero at…

A: We have to find degree 3 polynomial fx having zero at x=3, x=2 and x=-1, and y intercept is 0,4.

Q: Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): 4,2,-4.…

A: We find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x):…

Q: Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): 2, 1, 5.…

A:

Q: pind the Maclaurin polynomial of degree 3 for the function f(x)=è=7x

A: Given function f(x)=e-7x. The objective is to find the Maclaurin polynomial of degree 3.

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions:n=3-2…

A: We have n = 3. It means we need to find 3rd-degree polynomial. It is generally given as follows:-

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

A: Given Zeroes are x=-4i   and x=8 x+4ix-8=0 x2-8x+i4x-32i=0 x2+(4i-8)x-32i=0

Q: Find an nth-degree polynomial function with real coefficients satisfying the given condition n = 3;…

A: Our Aim is to find an nth-degree polynomial function with real coefficients satisfying the given…

Q: Find a degree 3 polynomial having zeros -2, 1 and 8 and the coefficient of x° equal 1. The…

A: If x=k is a zero of a polynomial, then (x-k) is a factor of the polynomial. Given that the zeros are…

Q: A polynomial function, f (x), has roots at x = -3, 1, and 5. The y-intercept is at -1. Determine the…

A: A polynomial function the f(x) has roots  x= -3,1 and 5 ,the Y intercept is at -1 To determine the…

Q: Find a degree 3 polynomial having zeros -5, 2 and 6 and the coefficient of x° equal 1. The…

A:

Q: The polynomial function f has exactly one positive zero. Approximate the zero correct to two decimal…

A: Given:f(x) = 2x4-16x3- 5x2- 8x- 3f(x) has exactly one positive zero, say at x'.To approximate →x'…

Q: Find an equation of a degree 3 polynomial(in factor form) with the given zeros of f(x): -5,2,3.…

A: given ,             A degree 3 polynomial with the given zeros of  fx :-5,2,3…

Q: Find a polynomial f(x) of degree 4 with real coefficients and the following zeros. 1 (multiplicity…

A: Given: Find a polynomial f(x) of degree 4 with real coefficients and the following zeros. 1…

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.