What is a polynomial equation? When is it in standard form?

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: Give an example and explain why a polynomial can have fewer x-intercepts than its number of roots

A: We need to give an example and explain why a polynomial can have fewer x-intercepts than its number…

Q: Find a fourth degree polynomial that has zeros of 1,-3,2i

A: The zeros of the polynomial are 1, -3, 2i. Since 2i is the zero of the polynomial, therefore its…

Q: Give a POLYNOMIAL EQUATION with integral coefficients that has the following roots. Write your…

A: It is a fourth degree polynomial as we are having four roots.

Q: Suppose is a root of a polynomial equation. What does this tell us about the leading coefficient and…

A: Consider an example of a quadratic equation. The quadratic equation with the roots α and βis written…

Q: Write the rule of the quartic (degree 4) polynomial with roots -4, -1, 2, and 3, and у-intercept 30.

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Q: Explain how to use the Leading Coefficient Test to determine the end behavior of a polynomial…

A: Solution: Consider we have to given that the leading coefficient and we have to test the behavior of…

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 the quadratic polynomial if the zeroes of it are 2 and 1/3 respectively.

A: Find the quadratic polynomial

Q: Describe how to use Descartes’s Rule of Signs to determine the possible number of negative roots of…

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Q: What is a polynomialfunction in degree 1

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Q: Write the equation of a third degree polynomial in standard form (multiply out) with the given…

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Q: What is a polynomial function?

A: To Explain: what is a polynomial function

Q: How do I find out if it's a polynomial or a power function?

A: Given function f(x)=-17x5. Is the function a power function, polynomial function?

Q: What is the leading coefficient of athird degree polynomial function that has an output of 1,272…

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Q: What is a polynomial in x?

A: The x happening in a polynomial is generally referred to as a variable or an indeterminate. When the…

Q: What is meant by Polynomial function in reference to algebra?

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Q: The zeros of a third degree polynomial function are 0, 2,–3. Write a possible equation for the…

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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: Using the quadratic approximating polynomial to estimate, is approximately 0.98

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Q: How  many roots does the polynomial have?

A: NOTE: Refresh your page if you can't see any equations. . to find the roots, take P=0

Q: What are the zeros of a polynomial function and how are they found?

A: Let f(x)=anxn+an-1xn-1+⋯+a3x3+a2x2+a1x+a0  be a polynomial of degree n. A root or a zero of a…

Q: Determine whether the statement is true or false, "Every polynomial equation of degree n has n…

A: Fundamental theorem of algebra: Every polynomial equation of degree n has at most n roots.

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

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Q: What are the real or imaginary solutions of the polynomial equation?

A: If the solutions of the polynomial is from the real number set, then then the solution of the…

Q: Calculate the real values of x and y such that (x + y)° is bigger than 8. hinh ai is a solution of…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Define a cubic polynomial using x as the variable. Show how to use the Vertical Method to multiply…

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Q: 5. Write a polynomial equation with the zeros 5, -6, and-1 multiplicity 2.

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Q: Express your answer as a polynomial in standard form.

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Q: Find a fourth degree polynomial that has zeros of 1, -3, 2i.

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Q: The side of a cube is represented by X + 1 find A polynomial model in standard form in terms of X…

A: Given, The side of a cube is represented by (X + 1) The volume of a cube defines,  The number of…

Q: Express as a polynomial.

A: .

Q: Create a polynomial function whose degree is 4, the leading coefficient is odd and the constant term…

A: Polynomial function: A  function which consist of positive power of the variable or non-negative…

Q: . Find a polynomial of degree 3 whose zeros are -4, -1, 2 and y intercept 16.

A: Since you have asked multiple question, we will solve the first question for you. If youw want any…

Q: 4) -3, -4, 5 ansurer -2 -3 3 answer 6) - answer .

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Q: Explain why a polynomial function of degree 20 cannot cross the x-axis exactly once?

A: Explain why a polynomial function of degree 20 cannot cross the x-axis exactly once?

Q: Create a polynomial equation with real coefficients that has 2 and 1-i as roots.

A: To create a polynomial equation with real coefficients that has 2 and 1-i as roots.

Q: What is the polynomial function of least degree whose only zeros are -3,-2, and 4? Drag a value to…

A: Here we find the polynomial function of least degree whose only zeros are -3,-2 and 4

Q: Find the polynomial function with real coefficients 3, -1 with multiplicity of 2 and -i. Rewrite in…

A: If x=3 is a zero then (x-3) is a factor. If x=-1 is a zero then (x+1) is a factor. It has…

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

A: Given: if a+bi is the root of a polynomial equation with real coefficients,b≠0, then ..............…

Q: When are the non-negative integer and the real constants called the coefficients of the polynomials?

A: When the non- negative integer and the real constants are expressed as linear combination of finite…

Q: Use Descartes rule of signs to determine how many positive solutions and how many negative solutions…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: What is a polynomial?

A: A polynomial is an expression consisting of variables and coefficients, involving the operations of…

Q: What is the Polynomials function?

A: To write about polynomial function.

Q: Which is the cubic polynomial in standard form with roots 3, -6, and 0?

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Q: What is the equation of this degree 6 polynomial function?

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Q: What is a cubic polynomial function in standard form with zeros -4, -5, and 4?

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