True or False: Every quadratic (2nd degree) polynomial with real coefficients has at least one real zero

Q: Explain why all Odd degree Polynomials with Real Coefficients have a Real Root.

A: We have to explain that odd degree polynomials with real coefficient have a real root. We know ,…

Q: It is possible for an even degree polynomial with real coefficients to have only one x-intercept.…

A: It is possible for an even-degree polynomial with real coefficients to have only one x-intercept.…

Q: Find the polynomial equation whose zeros are 2 of multiplicity 2, 1 and -2

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Q: What is an equation for a polynomial that includes  -degree 3 -zero of multiplicity 1 at x=2…

A: To find the equation for a polynomial that includes  degree 3 zero of multiplicity 1 at x=2    zero…

Q: If a fifth-degree polynomial is divided by a second-degree polynomial, the quotient is a -degree…

A: Given

Q: It is possible for an odd degree polynomial with real coefficients to have all non-real zeros.…

A:

Q: True or False The degree of the product of two nonzero polynomials equals the sum of their degrees.

A: Consider the given information. Let A and B are two polynomials. Let the degree of the polynomial is…

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: List all possible rational zeros of the polynomial 4x^4-x^3+6 = 0

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

A: a) Given that, the function R(x) has the zeros -5,8,9 and -5+5i. Note that, if a+ib is a root or…

Q: Form a polynomial with zeros: -6, multiplicity 1; 2 multiplicity 2; degree 3

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Q: Ques.2. Use the Birge-Vieta method to find a real root correct to three decimals of the following…

A: We calculate root of polynomial using Birge-Vieta method   In this problem the coefficients are…

Q: graph of a polynomial of degree 4, with 4 real zeros. Graph, explain the components.

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Q: Find a polynomial of the specified degree that has the given zeros. Degree 3; zeros -1, 1, 3

A: Given, Degree = 3 Zeroes = -1, 1, 3

Q: find a polynomial of degree 4 with zeros -6,-1,0, and 3.

A:

Q: Find a degree 4 polynomial having zeros -8, -2, 4 and 8 and the coefficient of æ4 equal 1. The…

A:

Q: Determine the maximum number of real roots and possible real roots of the following polynomial…

A: We know that, a polynomial equation of degree n has maximum n roots.  If a+ib is a root of a…

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

A:

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

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

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: If a polynomial cannot be written as the product of two other polynomials (excluding 1 and - 1),…

A: We know that a prime number have only 1 and that number as its factors.

Q: Explain why a polynomial with real coefficients of degree 3 must have at least one real zero.

A: Given, A 3rd degree polynomial with real coefficients. Since the given polynomial is of degree 3,…

Q: Prove that a fourth degree polynomial with one real root and real coefficients must have another…

A: Given: Fourth degree polynomial having one real root and if has real coefficient. To Prove: Has…

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

A:

Q: Find a polynomial with real coefficients, degree 3, and zeros 3 − 2? and −2. Give both the factored…

A: Given, degree=3 zeros are 3,-2, and -2.

Q: TRUE OR FALSE  An odd degree polynomial with real coefficients and negative leading coefficient…

A: solve the following

Q: a degree 4 polynomial having zeros -6, -4, 3 and 8 and the coefficient of x^4 equals 1 The…

A:

Q: express the volume of the box as a polynomial function in terms of X

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Q: Find a polynomial with integer coefficients that has 1/2 and -1/3 aszeros.

A: Since the required polynomial is to have two zeroes, it's degree should be 2 i.e. It should be a…

Q: Find a polynomial of the specified degree that has the given zeros. Degree 4; zeros -2, 0, 2, 4

A: Degree=4Zeros   =-2,0,2,4

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

A:

Q: The ____ term of a polynomial is the term of highest degree

A: Given: The _____ term of a polynomial is the term of highest degree

Q: What is the polynomial of degree zero

A: Degree of Polynomial: In a polynomial highest power of variable is called degree of polynomial.

Q: Find a polynomial with real coefficients of degree three, with zeros of the polynomial being x=(1+i)…

A: From the polynomial

Q: Explain why odd-degree polynomials can have only local maximums and/or minimums, but even-degree…

A: The odd degree function extends its value from negative infinity to positive infinity or vice-versa…

Q: True or False: Every quadratic (2nd degree) polynomial with real coefficients has at least one real…

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Q: Find a degree 3 polynomial having zeros -2, 1 and 8 and the coefficient of x3equal 1

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Q: Find the quadratic polynomial if the zeroes of it are  2 and 1/3 respectively

A: We have to find quadratic polynomial whose zeroes are given.  For this we will use formula for…

Q: Find a polynomial (fx) of degree 4 that has the following zeros. 5 (multiplicity) ,  0, −4 Leave…

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Q: A fourth-degree polynomial with real coefficients canhave −5, −8i, 4i, and 5 as its zeros.

A: Given the statement that a fourth degree polynomial has real coefficients can have  -5 ,-8i 4i and 5…

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: Write the standard form of the 5th degree polynomial with zeros x = 2 (multiplicity 2), x = 3i, and…

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Q: The result of setting two polynomials equal to each other is called a/an form if one side is…

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Q: Find a quadratic polynomial whose sum and product respectively of the zeroes are as given  also…

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Q: Form a polynomial whose real zeros and degree are given. Zeros: - 3, 0, 5; degree: 3 Type a…

A: Given, The real zeros are -3,0,5 Degree = 3

Q: suppose a polynomial function of degree 3 has zeros -1/3,2, and 8. factor the function over the real…

A: To determine the factors of the polynomial.

Q: Form a polynomial (fx) with real coefficients having the given degree and zeros.   Degree​4…

A: The zeros of the polynomial f(x) is 2, -2+3i and the zero 2 has multiplicity 2. Remember that…

Q: How can all real zeroes be found for 6x^3 - 24x^2 + 6x?

A: This question can be solved using the concept of finding the zeroes.

Q: 2:53 AM Sun Apr 5 © 33% 4 webassign.net Find all zeros of the polynomial. (Enter your an P(x) %3D х3…

A: Using the rational root theorem to check the first zero: The possible zeroes are given by +-factors…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.