A polynomial is a single term or the sum of two or more terms containing variables with exponents that are numbers.

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: Find a polynomial of the specified degree that has the given zeros. Degree 4; zeros -3, 0, 3, 5

A: General form a polynomial of degree n is P(x) = anxn+an-1xn-1+...+a1x+a0, an≠0  and the factored…

Q: Terms of a polynomial that contain the same variables raised to the same powers are called terms.

A: To fill the blank given in the statement.  Terms of a polynomial that contain the same variables…

Q: Can someone answer all of these polynomials?

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

A: Given

Q: Write an equation for the polynomial graphed bel 5+ 4+ 3+ 2+ 1- -5 4 -3 -2 2 3 4 5 -2+ -3 - -4+ -5+…

A: The polynomial has zeros at x= -4,-1,1, and 3, as the curve meet x-axis at x=-4,-1,1,3 Therefore,…

Q: Find a polynomial function that has the given zeros.−2, −1, 0, 1, 2

A: To Find a polynomial function that has the given zeros Given that the zeros are −2, −1, 0, 1, 2.

Q: A simplified polynomial that has exactly one term is called a/an ............ ?

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Q: find a polynomial of the specific degree that has the given zeros. degree=3.            zeros=…

A: Given  The  polynomial of the specification is  Degree =3  Zeros = -3 ,3 ,5

Q: A simplified polynomial that has two terms is called a/an ............ ?

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Q: A simplified polynomial that has three terms is called a/an

A: A simplified polynomial that has three terms is called a/an________

Q: Show that (x-y) is a factor of (x2-7x2+14x-8) ,ccplete factors od expression

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Q: It is customary to write the terms of a polynomial in the order of descending powers of the…

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Q: Find the polynomials connecting the points (0,1), (1,3), and (2,13) ​​by quadratic interpolation.

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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: Expand: Write as a polynomial. (2x - 3y)

A: Given,2x-3y4=2x-3y22Using,a-b2=a2+b2-2abtherefore,=2x2+3y2-22x3y2=4x2+9y2-12xy2Now,using,a+b+c2=a2+b…

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: Write a polynomial with zeros 0,-3, and 2 with multiplicities 2. 1, and 2, respective What is its…

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

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Q: Write the resulting polynomial in standard form and indicate its degree. (13x4 - 8x3 + 2x2) - (5x4 -…

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Q: Find a polynomial that assumes these values: 1 3 -4 3. 2. 2.

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Q: determine if the statement is true or false. If a statement is false, explain whyThe product of two…

A: Statement: The product of two polynomials each of degree 4 will be less than degree 8.

Q: It is customary to write the terms of a polynomial in the order of descending powers of the…

A: It is given that, It is customary to write the terms of a polynomial in the order of descending…

Q: A polynomial with three terms is called A polynomial with four or more terms is monomial binomial…

A: A polynomial with three terms is called trinomial

Q: Show how to determine whether the binomial is a factor of the polynomial. 1. f(x) = 3x4 + 6x3 – x2 -…

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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: 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: Find a polynomial of the specified degree that has the given zeros. Degree 5; zeros -2, -1, 0, 1, 2

A: If a polynomial P(x) whose degree n having zeros x1, x2, ..., xn then the polynomial is…

Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 5+…

A: This is the given graph of y=f(x) we can see that this graph is cutting x axis at 4 points (-4, 0),…

Q: A simplified polynomial that has three terms is called a/an___________.

A: A simplified polynomial that has three terms is called a/an................

Q: A simplified polynomial that has two terms is called a/an__________.

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Q: How do you go about figuring out the upper and lower bounds for a polynomial? Is it just random…

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Q: The standard notation of the factorial polynomial x(4) - x(3) - 2

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Q: find a degree 3 polynomial with zeros -2,1, and 5 and going through the point (0,-3)

A: Assume a polynomial and use the given point.

Q: Discuss the properties of polynomials

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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: 9. What is the possible equation of the following polynomial in factored form?

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Q: Give a careful statement about the degree of the sum of two polynomials of the same degree.

A: The degree of the sum of two polynomials of same degree equals to the degree of one of the…

Q: how many polynomials are in this equation x^5-2x+x^9-9x^6

A: This is single polynomial of degree 9

Q: Find a polynomial of the specified degree that has the given zeros. Degree 4; zeros -1, 1, 3, 5

A: The objective is to find a polynomial having Degree 4 and zeros -1, 1, 3, 5.   By factor theorem,…

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: Write an equation for a polynomial that has four turning points, end behavior of up and down, and…

A: A polynomial with an nth degree has n number of roots. The end behaviour of the graph is how the…

Q: Write the resulting polynomial in standard form and indicate its degree. (-6x3 + 7x2 - 9x + 3) +…

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

A: Explanation and Solution is given below....

Q: A simplified polynomial that has two terms is called a/an

A: A simplified polynomial that has two terms is called a binomial.

Q: It is customary to write the terms of a polynomial in the order of descending powers of the…

A: In polynomial if terms are arrange in descending powers of variable then polynomial is called in…

Q: Write a polynomial o fminimum degree in standard form with real coefficient whose zeros include 4,…

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Q: determine if the statement is true or false. If a statement is false, explain whyThe sum of two…

A: Given:The sum of two polynomials each of degree 5 will be less thanor equal to degree 5

Q: A polynomial is a single term or the sum of two or more terms containing variables with exponents…

A: We know that a polynomial is a single term or the sum of two or more terms containing variable with…