Does there exist a polynomial of degree 4 with real coefficients that has zeros i, 2i, 3i and 4i? Why or why not?

Q: Find a polynomial function with real coefficients that has the given zeros.

A: The given zeros are -52, -5, 1+3i

Q: The fourth-degree polynomial f (x) = 230x* + 18x³ + 9x² – 221x - 9 has two real zeros, one in [-1,…

A: Bisection method: This method is also called the interval halving method and it is used to find the…

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 with integer coefficients that satisfies the given conditions. R has degree 4 and…

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Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and…

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Q: Find a fourth degree polynomial that has zeros of 1,-3,2i

A: The zeros of the polynomial are 1, -3, 2i. Since 2i is the zero of the polynomial, therefore its…

Q: Find a fourth degree polynomial with real coefficients that has zeros of -3, 2, i that passes…

A: Let us consider a fourth-degree polynomial:

Q: Find a polynomial of degree 4 with 9 as a zero of multiplicity 1 and 4 as a zero of multiplicity 3

A: A polynomial of degree n has a zero  a  of multiplicity k iff (x-a)k is a factor of polynomial

Q: 35. Write a third-degree polynomial f(x) with integer coefficients and with zeros of -2i and.

A: Given: A third degree polynomial with integer coefficients and with zeros of -2i and 5/3. Concept…

Q: If f(x) is a polynomial with real coefficients and zeros of 5 (multiplicity 2), –1 (multiplicity 1),…

A: The number of zeroes are 4. But one zero has a multiplicity of 2 that is the zero is repeated.

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 polynomial of degree 3 that has zeros x = 5 and x = 3i .

A:

Q: FIND A POLYNOMIAL OF DEGREE 4 WITH 3 AS A ZERO OF MULTIPLICITY 2,-4,AND 6 AS ZEROS OF MULTIPLICITY…

A: If a polynomial function, f(x) has roots or zeroes of r1, r2, r3,r4 then the polynomial function can…

Q: What is the polynomial f(x) with real coefficients having the given degree and zeros for  Degree 4;…

A: Explanation of the solution is given below...

Q: find a formula for the polynomial P(x) with degree 3 leading coefficient 2 zeros at -5, -3, and 3

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Q: f is a polynomial function of degree 4 whose coefficients are real numbers; two of its zeros are - 3…

A: Consider the provided information, If the polynomial fx with real coefficients and have complex zero…

Q: Form a polynomial with a Degree 4; zeros:4+2i, -1 multiplicity 2

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Q: Does there exist a polynomial of degree 3 with real coeffi- cients that has zeros 1, -1, and i?…

A: Zeros of the polynomial are 1, -1  and  i. Since the complex roots occur in conjugate pairs,…

Q: find the polynomial of degree 3 with zeros that include 3i, 3 and P(1)=3

A: The given zeros of a polynomial function are 3i and 3.

Q: find the polynomial of lowest degree with integer Coefficients & zeros 1, 3, i

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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: Find a polynomial f (x) of degree 4 that has the following zeros. 8, -1 (multiplicity 2), 0 Leave…

A: We have to find a polynomial f(x) of degree 4 that has the following zeros  8,-1,-1,0 i.e x =…

Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and…

A: Given, polynomial R has degree 4, and zeros 1-2i and 1, with 1 being a zero of a multiplicity of…

Q: Find a polynomial of least degree with only real coefficients and having the given zeros. (2+i,0)…

A: Let f(x) be the polynomial of least degree having zeros 2+i and 3.Since the complex number 2+i is a…

Q: Find a 6th-degree polynomial with a negative leading coefficient that has roots x= 1- (square root…

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

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Q: Find a polynomial of degree 3 with real coefficients and zeros of -3,-1,4 for which f(-2) =18

A:

Q: The fourth-degree polynomial f (x) = 230x4 + 18x³ + 9x² – 221x 9. - - has two real zeros, one in…

A: The given polynomial is - f(x)=230x4+18x3+9x2-221x-9 It is also given that the given function has…

Q: 4, 6i, and 3-√√2 are zeros of a polynomial with real integer coefficients. What is the minimum…

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Q: Form a polynomial f(x) with real coefficients having the given degree and zeros  Degree 4; zeros;…

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Q: Give one example of a polynomial of degree 4 that has a zero at x = 5 with multiplicity 2. (There is…

A: Given: The given degree for the polynomial is 4. the given zero of the polynomial is x=5.…

Q: Find a fourth degree polynomial that has zeros of 1, -3, 2i.

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Q: Find a fourth-degree polynomial with integer coefficients that has zeros 6i and −1, with −1 a zero…

A: Since -1 is zero of polynomial with multiplicity 2, so we count -1 twice. Also complex zeros always…

Q: Find a polynomial function of lowest degree with real coefficients and the numbers 6, 3i as some of…

A: The problem is concerned with finding polynomials with real coefficients having prescribed roots.

Q: Suppose that a polynomial function of degree 4 with rational coefficients has the given numbers as…

A: It is mentioned that the function is a polynomial of 4th degree. It means there will be 4 roots of…

Q: find a degree 3 polynomial having zeros 3,-7, and 4 and leading coefficient equal to 1.

A: Given: A degree 3 polynomial having zeros 3, -7 and 4 and leading coefficient equal to 1.

Q: Find a polynomial of least degree with only real coefficients and having the given zeros. 2 + i, 3

A: Given

Q: polynomial

A:

Q: Give one example of a polynomial of degree 3 that has a zero -6 with multiplicity 2

A: Consider the polynomial of degree 3, fx=x3+11x2+24x-36 At x=-6,…

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: Find a polynomial of degree 3 that has zeros 5, -5, and 8

A: Given :To determine the polynomial ofdegree 3 has zeros 5,-5 and 8.

Q: A fourth-degree polynomial with real coefficients canhave −5, −8i, 4i, and 5 as its zeros.

A: Given the statement that a fourth degree polynomial has real coefficients can have  -5 ,-8i 4i and 5…

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: Find a polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2)=18

A: zeros are  -3,-1, and 4.So factors are (x+3), (x+1) and (x-4). [when x=k is a zero then (x-k) is a…

Q: Find a polynomial f(x) of degree 5 that has the following zeros. -4, -1, 6 (multiplicity 2), 0 Leave…

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Q: Suppose a polynomial of degree 4 with rational coefficients has the given numbers as zeros. Find the…

A: Zeros of a polynomial: Let the other zero be kThen the equation of the polynomial…

Q: Find a polynomial of degree 3 with real coefficients and zeros of −​3,−​1, and​ 4, for which…

A: Given data:     The first zero of the polynomial is: x1=-3. The second zero of the polynomial is:…

Q: Find a polynomial function of smallest degree with integer coefficients that has the given zeros.…

A: Given the zeroes of polynomial : 34,4+2i,4-2i

Polynomials

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