4. Is it possible for a 6th degree polynomial with real coefficients to have 6 imaginary solutions ? *

Q: An nth degree polynomial will have at most n+1 real roots. O True O False

A: No, that is not possible. The only reason that an n-degree polynomial has max n roots is that it can…

Q: Find a polynomial f (x) of degree 5 that -4, -1, 3 (multiplicity 2), 0 Leave your answer in factored…

A:

Q: 3. Express as a polynomial. Arrange your answer from term with highest degree to lowers degree *…

A: 3. (3x3+4x2-7x+1)+(9x3-4x2-6x) open all the brackets =3x3+4x2-7x+1+9x3-4x2-6x rewrite or arrange…

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: 10. Write a third-degree polynomial f(x) with integer coefficients and zeros of 5, -, and 4.

A: Let the polynomial is  fx=αx-15x--23x-4=αx-15x+23x-4=α5x-153x+22x-4 Coefficient will be integer if α…

Q: Find a polynomial with integer coefficients that has degree 4 and zeros 1−2i and 1, with 1 a zero of…

A:

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

A:

Q: 8. Find a polynomial of degree 4 with integer coefficients and zeroes 3i and 4, with 4 a double…

A:

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

A: Given: Find a polynomial of the specified degree that satisfies the given conditions.Degree 4; zeros…

Q: polynömial that passes through the three points (0, 1), (1, 2) and (2, 23). If the coefficient of x…

A:

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

A:

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: If f(x) is a 4th degree polynomial, and has 3 real numbers as roots, the other root is?

A:

Q: 9. Find a fourth-degree polynomial with integer coefficients that has zeros 3i and –1, with -1 a…

A: 3i and -1, with -1 a zero of multiplicity 2

Q: True or False A polynomial function of degree n with real coefficients has exactly n complex zeros.…

A: If the statement is true or false

Q: A polynomial of degree n  1 has exactly zeros ifa zero of multiplicity m is counted m times

A: A polynomial of degree n≥1 has exactly  ___________  zeros if a zero of multiplicity m is counted m…

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

A:

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: ind a polynomial  fx  of degree  5  that has the following zeros. −5 ,   3  (multiplicity  2 ) ,…

A: given that fx is of degree 5having zeros -5,3multiplicity of 2,0,-6write down a polynomial in…

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

A:

Q: Find a formula for the polynomial P(x) with degree 3  leading coefficient 1 zeros at 8, -6, and 7…

A:

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: 9.The quotient of a third-degree polynomial in x and a first-degree polynomial in x when equated to…

A:

Q: 6. True or False A polynomial function of degree 4 with real coefficients could have -3, 2 + i,2 -…

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

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

A: Answer and explanation is given below

Q: 7. Find a fourth-degree polynomial with integer coefficients that has zeros x=3i and x=-1. The root…

A:

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

A: We have to find polynomial

Q: 21. Find a fourth-degree polynomial with integer coefficients that has zeros x=3i and x=-1. The root…

A: Let f(x) be a fourth degree polynomial with integer coefficients. The zeros of the polynomial f(x)…

Q: - Find The polynomial of degree 7 which has only the following zeros: 2( multiplicity 4), 4(…

A: Given: Degree of polynomial is 7. The given zeros of the polynomial are, 2 with multiplicity 4 can…

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

A: Given

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

A:

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: Mr. Bean has a 5th degree polynomial using only the variable x. Mr. Kelly has a different 5th degree…

A: Mr. Bean has a 5th-degree polynomial using only the variable x. Mr. Kelly has a different 5th-degree…

Q: 3. A polynomial of degree n 21 has exactly a zero of multiplicity m is counted m times. zeros if

A: To fill in the blanks where statement is A polynomial of degree n≥1 has exactly ......... zeros if a…

Q: Find a polynomial of degree 5 with integer coefficients and has zeros ½, -i, and 1 – i, and leading…

A: Given,           The leading coefficient of the polynomial is 4 and zeros of the polynomial are 1/2,…

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

A:

Q: 22. The function In x grows slower than any polynomial Show that In x grows slower as x → oo than…

A:

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

A: zero at x=5 with multiplicity 2

Q: 8. Find the (only) equation of a polynomial p(x) th • Root at 0 of degree 1 • Root at 1 of degree 1…

A: Let the leading coefficient = a So, P(x)=ax(x-1)(x+3)2 Given that P(2)=5  Using that we find a

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…

Q: 24. Determine the number of zeroes of the polynomial z7 – 6z5 + 8 in the annulus 1 < |z| < 2.

A:

Polynomials

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