How does the linear factorization of f(x), that is, AX)=an (x-c1)(x-c2) (x-C). show that a polynomial equation of degree n has n roots? Why must every polynomial equation with real coefficients of degree 3 have at least one real root?

Q: If a + bi is a root of a polynomial equation with real coefficients, b + 0, then. equation. is also…

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

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

A: f is a polynomial function of degree 4 whose coefficients are real numbers; three of its zeros are…

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: If a third degree polynomial has a lone x-intercept at x a , discuss what this implies about the…

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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: 4. The polynomial equation whose roots are {-1, - ½ and 3} is А. 2х3- Зx2 - 8х-3%3D0 В. х3 - 6х2 - х…

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Q: If a third degree polynomial has a lone x-intercept at x=a , discuss what this implies about the…

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Q: A polynomial function f of degree 5 whose coefficients are real numbers has the zeros 1 ,5i,and 1+i…

A: A polynomial has zeros 1, 5i and 1+i

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

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Q: Find a polynomial function with real coefficients that has the given zeros: 1,1, 2+√3i.

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

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Q: Find a possible formula for a polynomial with degree n=2 and the zeros are x = -4 and x = 11.

A: Let the polynomial at 2nd degree be             P(x) = x2 + ax + b Given, Zeroes are x = -4 and x…

Q: 1 is a zero of the polynomial P(x) = x³ – 3x* + 7x³ – 13x² + 12x – 4 of multiplicity (а) 3 - - (b) 5…

A: 1 is the zero of given polynomial.

Q: Approximate the roots of the polynomial f(x) = X3 - 7X + 6 using Bolzano method.

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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 an equation of a polynomial function with real coefficients having zeros 4 and 2+3i

A: We have to find the equation

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: In Problem,explain why the facts given are contradictory.

A: Zero of a function is a point in its domain for which the function takes the value equal to 0. A…

Q: Show that if the quadratic polynomial f (x) = x2 + rx + s takes on both positive and negative…

A: Find the real roots of the polynomial,

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

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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: Find a polynomial of degree 4 that has a real coefficient and has 3,2 and 2+i as some of its roots

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Q: Find a formula for the polynomial with a zero at x = –1 of multiplicity 2, a zero at a = 1 of…

A: As per guidelines, I'm strict to do only one question. To know rest please reupload particular…

Q: C) Find a polynomial of degree 2 that has two irrational zeros

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Q: In Problem,explain why the facts given are contradictory.

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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 f (x) of degree 3 that has the indicated zeros and satisfies the given condition.

A: Given: A 3 degree polynomial with zeros -3,-2,0.

Q: Evalute the polynomial at x= -2    5x^4-3x^2 - x + 1 + 5x^3

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Q: find a degree 3 polynomial having zeros 7, -3, and -8 and leading coefficient equal to 1.

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Q: Find a possible formula for a polynomial with degree n=2 and the zeros are x = 4 and x =-5.

A: It is given that, degree n=2 and the zeros are x=4 and x=-5 We have to find formula for a polynomial…

Q: 7. Find a polynomial of degree 3 that has the given zeros: -1, 1, 3 and a constant term equal to -9.

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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: Find the formula for a third degree polynomial with a zero at x = -5, a double zero at x = 3, and y…

A: Given that the polynomial has a zero at x=-5 So (x+5) is a factor of polynomial. Given that the…

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: The polynomial f(x)=x3+x2+1 has a linear factor in Z3[x]. true or false?

A: Solve the following

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: 7. Determine the equation of a polynomial with the following properties: - passes through (-÷0) and…

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Q: Find a polynomial of degree 4 with integer coefficients that has -2 as its only real zero and (1/3)i…

A: A polynomial of degree 4 with integer coefficients that has -2 as its only real zero. Which implies…

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: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1…

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Q: find a formula for the polynomial P(x) with degree 3 leading coefficient 1 zeros at -6, 4, and 7…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.