Find all the rational, irrational, complex zeros P(x) = x^4+x^3-5x^2+x-6

Q: Formulate the rational function that has a domain of  { x | x≠5}and range of { y |y≠6} and passes…

A: We need to find a rational function such that it will not be defined for the value x=5 and whose…

Q: Sketch a graph of a degree 5 polynomial with 5 real zeros and a negative leading coefficient

A: Step 1: Let us consider a polynomial function of 5 degree with 5 real zeros and negitive leading…

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: A polynomial equation with real coefficients has roots at x = minimum degree of the polynomial…

A: Given Data: Roots of the polynomial are: x=±1, 2i The minimum number of degree of a polynomial…

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

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Q: In Problem,list the potential rational zeros of each polynomial function.Do not attempt to find the…

A: Given: f(x)=2x5-x3+2x2+12

Q: find a degree 3 polynomial having zeros -8, 2, 6 and coefficient of x3  equal 1. the polynomial is:

A: Zeros are -8, 2, 6. So, factors will be –

Q: Roots of 1, 2, -4 y-in

A: Polynomial: We need to find a polynomial whose degree is even. Roots are 1,2,-4 y=intercept is -36…

Q: Find a polynomial of degree 3 that has zeros x = 5 and x = 3i .

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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: Find the equation of a 4th degree polynomial that has zeros at x=-7x=−7,  x=2x=2,  x=3x=3  and…

A: Given that, Polynomial has zeros at x = -7, x = 2, x = 3, x = 4 and we have to find the polynomial…

Q: Find a polynomial of degree 5 whose zeros are -4,2,0 ( multiplicity 3) and contains the point (-2,64

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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…

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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: 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: Determine a possible 3rd degree polynomial function in factored form with its only (3, 0) and (-2,…

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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: 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: Find an nth-degree polynomial function with real coefficients satisfying the given conditions as n =…

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

A: Iteration formula for secant method is:  xn+2=xn-f(xn)⋅xn+1-xnf(xn+1)-f(xn)…

Q: Find the formula for the fourth degree polynomial containing the point (0,8) and whose graph is…

A: We have to find the equation for the given graph.

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: 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 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: 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. 0, -3, -1, 2

A: This question is related to polynomials, we will solve it using given information.

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

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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: 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: Find a cubic polynomial f(x)=ax3+bx2+cx+d that has horizontal tangents at the points (-5,4) and…

A: Let the cubic polynomial function be fx=ax3+bx2+cx+d. It is given that the function f(x) has…

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

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Q: Find a polynomial degree 3 with constant term 96 and zeros 3 and 4 (multiplicity by 2)

A: Let Px be a polynomial of degree 3 with constant term 96 and zeros 3 and 4 (multiplicity  2). A…

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: Form a polynomial equation with integral coefficients whose only roots are given. 1/2,-2/3,1/3

A: Let P(x) be the polynomial whose roots are X1 = ½ , X2 = -2/3 & X3 = 1/3

Q: how do I Write a polynomial function of least degree with integral coefficients that has the given…

A: If k is a zero  of the  polynomial p(x)  then (x - k) is a factor of  p(x)

Q: +∞ x sin(x2) : = - Σ n=0 (-1)" .4n+3 (2n + 1)! X

A: Let's find 7th degree maclaurin polynomial.

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: 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: 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: 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: polynomial

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…

Polynomials

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