Find the complex zeros of the following polynomial function. Write f in factored form.   f(x)= x^3 − 7x^2 + 41x − 87   The complex zeros of f are 3, 2 ± 5i. ​ (Simplify your answer. Type an exact​ answer, using radicals and (i) as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as​ needed.) Use the complex zeros to factor f.   ​f(x)= ___________________________________   ​(Type your answer in factored form. Type an exact​ answer, using radicals and (i) as needed. Use integers or fractions for any numbers in the​ expression.)

Q: Write the polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial…

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Q: t if the complex number z is a root of the polynomial f(

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Q: The complex zeros of f(x) = x4 + 1 For the function f(x) = x4 + 1:(a) Factor f into the product of…

A: f(x)=x4+1

Q: ind the roots of the polynomial: f(x) = x^4 + 4x^2 – 32

A: Explanation: Given that,  f(x)=x4+4x2-32     Let us suppose  x2=u Function becomes  u2+4u-32

Q: Find the zeros of the polynomial f(u) = 4u + 8u, and verify the relationship between the zeros and…

A: f(u) = 4u2 + 8u To Find the zeros of the polynomial f(u) and To verify the relationship between the…

Q: Consider the polynomial p(x) = 2æ³ + 5æ² 18x + 9 which has rational root x = 3/2. %3D Find the two…

A: x=a is said to be a root of a polynomial f(x)=0 iff (x-a) is a factor of f(x).

Q: Use Graphical methods to find roots of the followings: a. f(x) = x³ – 3 b. f(x) = x³ - x + 0.5 %3D |…

A: Given: (a)  fx=x3-3 (b)  fx=x3-x+0.5

Q: Find all the real zeros of f(x) = a* + 6x° + 6x? – 10x – 3. Given that f(1) = 0 and f(- 3) = 0. %3D…

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Q: P(x) = 3x – 4x3 + 2x² + 3x – 6 How many complex zeros does the above polynomial have?

A: We have to find the complex roots

Q: Write the polynomial f (x) that meets the given conditions. Answers may vary. Degree 3 polynomial…

A: Given :Degree 3 polynimial with zeros of -5, 5i, -5i

Q: Write the following complex polynomials in factored form. You may check your final answer using…

A: Given term is: h(z)=z4+25i

Q: Find the complex zeros of the following polynomial function  f(x) =x4+x3+23x2+25x-50

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Q: 5 Calculate the roots of the following polynomial equations: (a) x³ – 6x² + 11x – 6 = 0 given x = 1…

A: Topic = Polynomials

Q: Find all complex zeros of the following polynomial given that -5 - 4i is a zero.…

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Q: Show that every polynomial of degree at least 1 takes every complex value a E C.

A: We have to prove that every polynomial of degree atleast 1 takes every complex value a in C .

Q: Find all rational roots of h(x). h(x) = 3x + 5x- 4x - 5x + 1 %3D Write your answer as a list of…

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Q: Write the polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial…

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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: 3. Find the complex zeros of f(x) = x – 4x2 + 25x 100.

A: fx=x3-4x2+25x-100=x3-4x2+25x-100=25x-4+x2x-4=x-4x2+25=x-4x+5i(x-5i)

Q: Suppose the coefficients of the cubic polynomial p(x) = a +bx+cx^2+dx^3 satisfy the equation:…

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Q: 1) f (x) = 10.09x² + x4 + 17.64 2) f(x) = x3 + 9 %3D

A: We will use Muller's method to find the root of each of these equations using Muller's method.

Q: Find the roots of the polynomial f(x) = a + (2 – 3i)a* – (2+ 6i)æ³ - (6+ 2i)æ² – (3 – 2i)æ + i in C…

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

A: A polynomial is given by, fx = x4+8x3+72x-81. The objective is to solve the polynomial for all the…

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

A: Solution :-

Q: Find the SUM of all the complex zeros of f(x)= x3 + 3x2 + 7x + 10 a.) -1  b.) -2  c.) -3  d.) 0  e.)…

A: It is given that

Q: Use the given imaginary ZERO of the polynomial function to find the remain f (x) a 4x 18x-292x +7565…

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Q: Use the Rational Zero Theorem to find all the complex zeros of the function S(x) = 6xª – 17x+ 7a² +…

A: we posible rational zeros =±p±qwhere p is constant coeficient              q is leading…

Q: 15) Find the complex zeros of the polynomial function. f(x) = 3x4 + 10x2 + 8

A: Given function f(x)=3x4+10x2+8 f(x)=3x4+6x2+4x2+8f(x)=3x2x2+2+4x2+2f(x)=3x2+4x2+2 We know that i2=-1…

Q: The equation that gives the depth x to which the ball is submerged under water is given by x²…

A: Given equation is x3 -0.165 x2 +3.993×10-4 =0 Take  fx = x3 -0.165 x2 +3.993×10-4  Let initial…

Q: a) Show that x = 1+2i is a root of p(x) where i = surds(-1). b) By using the fact that p(x) is a…

A: We have to solve given problem:

Q: Pre cal How to write the polynomial for #6

A: Given

Q: Suppose that R (x) is a polynomial of degree 12 whose coefficients are real numbers. Also, suppose…

A: Given,            Suppose that Rx is a polynomial 12 whose coefficients are real numbers.…

Q: Find all the roots of f(x).  Use the zeros of f(x) to write the factored form.  f(x) = x4 -2x3 +…

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Q: T1.3-2 Use MATLAB to find the roots of the polynomial 290 - 11x + 6x^2 +x^3. (Answer: x10, 2 5i.) >>…

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Q: Identify the following terms. 1. A symbol that represents an arbitrary number in the domain of a…

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Q: Determine the approximate value of one of the roots of the function f(x) = -2x3 + 3x – 5 by applying…

A: Intermediate value theorem: Let f  be continuous function on a,b if f(a)<0, f(b)>0 then there…

Q: Which correctly factored form of the function f (x). 36x2 + 15x 6 can be used to identify the zeros?…

A: We find factor form the function f(x)=36x2+15x-6

Q: Use Bairstow's method to determine the roots of f(x) = 9.34 - 21.97x + 16.3x² - 3.704x³ r = -1 and…

A: We need to determine the roots of the equation: fx=9.34-21.97x+16.3x2-3.704x3 using Bairstow's…

Q: Find all complex zeros of the polynomial function, and write the polynomial in completely factored…

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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: find a polynomial function with real coefficients that has the given zeros 0, 3, 2i 4, 1+√3 i

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Q: Use the Newton-Raphson method to determine the real root of: f (x) = -1 +5.5x- 4x2 + 0.5x3 using xo…

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Q: Use the Rational Roots Theorem (p's and q's) to list all the possible rational zeros of the…

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Q: Consider f(x) = ka4 – x³ – 5x? + x +3 such that one of the roots of f is –1. 1. What is the value of…

A: Solve by using remainder theorem

Q: 4. Consider the polynomial f(x) = x* + 1. (a) product of two irreducible quadratics. Explain why ƒ…

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Q: Find all complex zeros of the following polynomial given that 2+3i is a zero. f(x)=x4-3x3+7x2+21x-26

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Q: Find all the real roots of the following polynomial equation: 1) (3x + 2) (x² - 25) = 0 2) 2x³ – 3x²…

A: Find the real roots of polynomial equations. According to our guidelines , we can answer only first…

Q: Given that -1 +5i is a complex root of the cubic polynomial x³+ 22x - 52, determine the other two…

A: Solution is here

Q: Use the rational roots theorem to find the possible roots of the following polynomial equation: 21a…

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Q: Write the polynomial f (x) that meets the given conditions. Answers may vary. Degree 3 polynomial…

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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.