Write two distinct polynomials, one in factored form ( f(x) = (x ± a)" (x ± b)".. ) and one in expanded form ( g(x) = ± ax" ± bx" cx' ± . ). One polynomial must have three zeros, including all complex zeros when counted with multiplicity. The other polynomial must have five zeros. You do not need to show these zeros.

Q: If 3 + 4i is a zero of a polynomial function of degree 5 withreal coefficients, then so is

A: We know that if a+bi is a zero of any polynomial function with real coefficient then a-bi is also a…

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: Find a fourth-degree polynomial with integer coefficients that has zeros 2i and -1, with -1 a zero…

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Q: Find a polynomial function with real coefficients that has the given zeros.2, 2, 1 + i

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Q: Form a polynomial f(x) with real coefficients having the given degree and zero  Degree 4; -5+3i; -1…

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Q: 5. Find a polynomial of degree 4 with the zeros 3i and-v6j

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

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: True or False A polynomial function of degree 4 with real coefficients could have - 3, 2 + i, 2 - i,…

A: True or False  A polynomial function of degree 4 with real coefficients could have - 3, 2 + i, 2 -…

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: 1) Sketch a cubic polynomial whose zeros are -1, 2, and 9

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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: the given degree and zeros. Degree​ 4; ​ zeros: −4−2i;  −1 multiplicity 2

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Q: If a third degree polynomial has a lone x-intercept at x=a what does this imply about the linear and…

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Q: Find a polynomial​ function, ​f(x), with least degree with integer coefficients that have 5 −2​, and…

A: A general equation of polynomial having zeros a, b, and c is given by

Q: What is the leading coefficient of athird degree polynomial function that has an output of 1,272…

A:

Q: If 3 + 4i is a zero of a polynomial function of degree 5 withreal coefficients, then so is_________

A: Given: 3+4i is zero of a polynomial fuction

Q: 8 (x)= 1 centered at a =0 1+x

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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: 1. Find all the remaining zeros of this polynomial function 2 = x' + x° + 7x´ + 9x – 18, 3 if one…

A: To find all the remaining zeros of this polynomial function.Px=x4+x3+7x2+9x-18, if one zero is 3i.

Q: Find a fourth-degree polynomial with integer coefficients that has zeros 5i and –1, with -1 a zero…

A: Given: A fourth degree polynomial has zeros 5i and -1 , with -1 a zero of multiplicity 2.

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

A: The given problem is to find the two real roots of the fourth degree polynomial at accuracy 10-6, we…

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

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Q: Find a polynomial of degree four that has zeros -3, 0, 1, and 5, and the coefficient of x3 is -6.

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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: Find a polynomial of lowest degree with rational coefficients and -4 and 5i as two of its zeros

A: Imaginary root always exist in pair form.

Q: Find the polynomial with thats has degree 3 and Zeros 2,-1 and 3

A: To find the polynomial with thats has degree 3 and Zeros 2, -1 and 3.

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: 3,…

A: The degree of polynomial f(x) is 4 and having zeros 3 with multiplicity 2 and 6i. Since 6i is zero…

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

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Q: Find a degree 3 polynomial having zeros -5, 2 and 8 and the coefficient of x3 equal 1

A: By the factor theorem, the required polynomial have factor(x+5),(x-2) and (x-8)   Therefore the…

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

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Q: Does there exist a polynomial of positive degree in ℤ6[x]Z6[x] that is a unit?

A: First, we understand how units in R[x] are identified. Let R[x] be an integral domain. An element…

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: (4) Find a polynomial that has 1+i and 1- i as zeros.

A: We have to find polynomial

Q: Find a polynomial f(x) of degree 4 with leading coefficient 1 such that both  −7 and 2  are zeros…

A: Since the zeros are multiplicity of 2. Zeros = -7, 2 The value of leading coefficient is 1 given in…

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…

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Q: list the potential rational zeroes for this polynomial function f(x)= 3x^5 - x^2 + 2x + 24

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

A:

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: 6. Does there exist a polynomial of degree 4 with integer coefficients that has zeroes i, 2i, 3i and…

A: Complex root must be in conjugate pair

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: Suppose a polynomial function of degree 5 with rational coefficients has the given numbers as zeros.…

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

A: Here we find the polynomial whose zeros are given.

Q: Find a polynomial f(x) of degree 4 that has the following zeros. 8, 0, 5, -3

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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 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: polynomial

A: