- Use Descartes' rule of signs to get an upper bound on the number of real roots of the polynomial in the previous problem. Does your bound match the number of real roots?

Q: Use the given information about the polynomial graph to write the equation. Degree 5. Roots of…

A: In this question, we need to find the polynomial equation using the information given about…

Q: What are the zeros of the polynomial p (x) = (a - 5) (3x + 5) (x2 – 7x + 12)? %3D Express them in…

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Q: Find a polynomial f(x) of degree 5 that has the following zeros. 3, -5, 9, -4, 2 Leave your answer…

A:

Q: 16. Find a fourth degree polynomial that has the zeros 3, -2, i.

A: Given data: The first root of the polynomial is x1=3. The second root of the polynomial is x2=-2.…

Q: Find a polynomial f (x) of degree 3 that has the following zeros. 4 (multiplicity 2), -8 Leave your…

A: A polynomial f(x) has zeros,    4multiplicity 2, -8

Q: 1. Find the zero's (aka roots) of the polynomial function and state the multiplicity of eac (i) (2.x…

A: Put polynomial =0

Q: 2. Find a formula for the polynomial that matches the follo Degree 5. Single zero at x=-2 and x-3,…

A:

Q: Suppose that R (x) is a polynomial of degree 10 whose coefficients are real numbers. Also, suppose…

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Q: Find a polynomial function ?(?) of degree 3 with real coefficients that satisfies the given…

A:

Q: Find the polynomial in x of the third degree, which vanishes when x=-1 and x=2 has  the value 8 when…

A:

Q: 1.How do you find the polynomial if roots is given?

A: Polynomial corresponding to the roots

Q: 42. If the coefficients of a polynomial function are all positive,then the polynomial has no…

A:

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: Suppose that R (x) is a polynomial of degree 10 whose coefficients are real numbers. Also, suppose…

A: Given that R(x) is a polynomial of degree 10 whose coefficients are real numbers.

Q: 1. List all of the possible Rational zeros for the following polynomial: Then find all of the zeros…

A: Given, g(x)=x4-13x2+36

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

A:

Q: 3. Use the Descartes' Rule of Signs to analyze the number of positive and negative real roots and…

A: Given function is, P(x)=-x6+5x5-3x4+x3-8x2+4x-2

Q: find the polynomial of lowest degree with integer Coefficients & zeros 1, 3, i

A:

Q: 17. Find all roots of the polynomial P(x) = x* – x³ – x² - x– 2.

A: This question is about nth root of polynomial

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

A: We have to find a polynomial f(x) of degree 4 that has the following zeros  8,-1,-1,0 i.e x =…

Q: a.) Show that i is a zero of the polynomial x³ – ix? + 2ix + 2. b.) -i is not a zero of the same…

A: a. Consider the given polynomial: Since So, complex number i is one zero of . But

Q: What is the polynomial, in factored form, for the function with the leading coefficient 6, and zeros…

A:

Q: Sketch a higher degree polynomial with the following roots: -2, 3, -3, 6. f(x) 9,

A: It is given that the roots are -2, 3, -3 and 6. That is, x+2=0, x-3=0, x+3=0 and x-6=0. The…

Q: 3. Use Muller's method to determine the positive real root of f(x) = 9.34 -21.97x + 16.3x² - 3.704x³

A:

Q: (a) What is the degree of Q(7, V3) over Q ? Justify your answer. Is the polynomial X - 5 € QIX)…

A: Degree of extension- Let E be an extension field of a field F i.e. F is a subfield of E, also E is a…

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: use descarts' rule of sign to detemine how many positive, how many negative real zeros and how many…

A: In f(x)= x4+x3+7x2+9x-18 there is only one change of sign. So, this polynomial can have 1 positive…

Q: Find a polynomial f(x) of degree 5 that has the following zeros. 5 (multiplicity 2), 0,-3, -8 Leave…

A:

Q: Write a fifth-degree polynomial in factored form that approaches positive infinity as x approaches…

A: Please refer the attached image for complete solution. THANK YOU.

Q: Suppose that R (x) is a polynomial of degree 9 whose coefficients are real numbers. Also, suppose…

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Q: Suppose that R(x) is a polynomial of degree 8 whose coefficients are real numbers. Also, suppose…

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Q: Find a polynomial f (x) of degree 5 that has the following zeros. 5 (multiplicity 2), 0, -7, -8…

A: Note:- A zeros of a polynomial are a,b,c,d and f then  Equation of polynomial will be  f(x)=…

Q: Verify that 3,-1 and -1/3 are the zeros of the cubic polynomial p(x) =3x2-5x2-11x -3 and then verify…

A: Note :- Solved by taking cubic polynomial p(x) = 3x3-5x2-11x -3 ( because in cubic polynomial 'x'…

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

A: We have to find polynomial

Q: 8. Construct a polynomial with Z coefficents with a root of the given C 3+ V5 (a) (b) 2+ 3і (c) 1-…

A: We have to solve the given problem.

Q: Suppose that R (x) is a polynomial of degree 12 whose coefficients are real numbers. Also, suppose…

A: Given,            Suppose that Rx is a polynomial 12 whose coefficients are real numbers.…

Q: Find a polynomial f(x) of degree 5 that has the following zeros. 6, -9, 4, 0, 3. Leave answer in…

A: topic - polynomials

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 that R (x) is a polynomial of degree 9 whose coefficients are real numbers. Also, suppose…

A: Given that R(x) is a polynomial of degree 9 whose coefficients are real numbers. Also suppose that…

Q: Find a polynomial f(x) of degree 4 that has the following zeros. 0, 9 (multiplicity 2), -6.…

A: A polynomial f(x) of degree 4 that has the zeros:    0, 9 (multiplicity 2), -6

Q: 16. Find a fourth degree polynomial that has the zeros 3, -2, i.-C (メ-3) &+) (メ -い)(メ+い)

A: Since we have to find a fourth degree polynomial that has the zeros3, -2, i and -i.Standard form of…

Q: Suppose that R(x) is a polynomial of degree 8 whose coefficients are real numbers.  Also, suppose…

A: To find out another zero of R(x) and maximum number of real zeroes that R(x) can have.

Q: Suppose you are asked to construct a polynomial with -3, 1, and 5 as roots. There are an infinite…

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Q: Find a polynomial f (x) of degree 3 that has the following zeros. -9, 0, 1 Leave your answer in…

A:

Q: Use the given information about the polynomial graph to write the equation. Degree 5. Roots of…

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Q: find all roots of the polynomial f(x)=(3x-2)(3x^2-5)(x^2+9)

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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: 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 R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.