Find a polynomial of degree 3 with real coefficients and zeros of −​3,−​1, and​ 4, for which ​f(−​2)=30.

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 has degree 4 and zeros 1−2i and 1, with 1 a zero of…

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Q: Give a polynomial equation with integral coefficients that has the following roots. 3, -1, 1

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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: 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: Give a polynomial equation with integral coefficients that has the following roots. 2, 3, 1/2

A: we can write polynomial as product of roots

Q: Find a polynomial with -3, 0, 4 as zeros, and of degree 3.

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Q: must every polynomial equation with real coefficients of degree 3 have at least one real root? Why

A: Recall: Fundamental theorem of Algebra: Any polynomial of degree n with real coefficient has n…

Q: Express the polynomial x3 + 2x+3 EZ-[x]as a product of irreducible polynomials of 75[x].

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

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Q: Find the equation of the polynomial with roots (–√3, 0) and (7i, 0), real coefficients, and passing…

A: Step I :   Given :   Roots : -3 , 0 & 7i , 0and passing through the point 1 , 200Find the…

Q: Suppose that a polynomial function of degree 4 with rational coefficients has 6, 4, 2i as zeros.…

A: We know that "If the polynomial has only real coefficients, then any complex roots must occur in…

Q: A 4th degree polynomial has zeros -5, 3, i, and -i. Which could represent the function defined by…

A: here it is given that A 4th degree polynomial has zeros -5,3, i and -i

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

A: (2-i) is a complex number. So its conjugate (2+i) will be a zero too of the polynomial.  sqrt(3) is…

Q: Find a polynomial function of degree 4 with −4 as a zero of multiplicity 3 and 0 as a zero of…

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

A: Follow the procedure given below.

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: Every polynomial function of odd degree with real coefficients will have at least…

A: To determineEvery polynomial function of odd degree with real coefficients willhave atleast

Q: Show that a polynomial of degree 3 has at most threereal roots

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Construct a polynomial with Rational Coefficients with: Even Degree · Roots of 1, 2, -3 y-intercept…

A: Given that:                    A polynomial with:   Even Degree   Roots of 1, 2, -3   y-intercept of…

Q: 7. Find a polynomial of degree 3 with zeroes -3, 2 and 3, passing through the point (0, 12).

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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 function with leading coefficient 1 that has the given zeros, multiplicities, and…

A: Consider the provided information, Zero :2, multiplicity :1Zero :1, multiplicity :3 Degree 4. Find…

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

A: Answer and explanation is given below

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 Polynomial with integer Coeffcients that Conditions. given Satisfies 'Ithe P has degree 3 and…

A: Given, Polynomial has degree 3 and zeros 5 and i

Q: Find a polynomial function of degree 5 with -2 as a zero of multiplicity 3,0 as a zero of…

A: When zeros of a polynomial is given that to derive the polynomial just multiply the factor for the…

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: Give a polynomial equation with integral coefficients that has the following roots. ±2 , ±3

A: To give a polynomial equation with integral coefficients that has the following roots.±2 , ±3

Q: 7. 3/2, -2, 1/3. -1 8. -2/3, -1/2, 2. -5, 1 9.-2. 5/2. 1/3, -3, 2

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Find a polynomial function of degree 6 with -2 as a zero of multiplicity​ 3, 0 as a zero of…

A: Given that:    A Polynomial of degree 6 with -2 as a zero of multiplicity 3, 0 as a zero of…

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: 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: polynomial

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Q: If the leading coefficient of an odd-degree polynomial function is positive, then the function…

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Q: What is the end behavior of a polynomial function of degree 7 with leading coefficient -2?

A: Given: The polynomial function have a degree 7 and leading coefficient is -2. Concept used: The end…

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

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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: Give one example of a polynomial of degree 4 that has zero at x=5 with multiplicity 2

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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: Write a polynomial function of least degree with integral coefficients that has the given zeros: 1)…

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Q: Give an example of a polynomial of degree 5 with roots -2 and -i.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Suppose that a polynomial function of degree 4 with rational coèfficients has -2 +51, 5-5 as zeros.…

A: Complex root :  The complex conjugate of a complex zero must also be a zero . So if you have any…