Write a polynomial o fminimum degree in standard form with real coefficient whose zeros include 4, -2, and 1-7

Q: Explain how to find the degree of a polynomial.

A: To find Degree of a polynomial

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: Write an expression in factored form for the polynomial of least possible degree graphed below. 6-…

A: To find the factored form of polynomial.

Q: form a polynomial who's zeros are -4,4,1 and degree 3

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

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Q: Determine the polynomial function of third degree whose zeroes are  3,7,7

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Q: Write an equation of a polynomial as described below in standard form. 3) zeros are -3 and with a…

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Q: Form a polynomial whose zeros and degree are given

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Q: Explain how to determine the degree of a polynomial.

A: Degree of polynomial: the degree of individual term of polynomial is the exponent of its variable,…

Q: ind a polynomial p(x) with zeros as -2,-3,1,3 ?

A: To find a polynomial p(x) with zeros as -2,-3,1,3

Q: Please complete the necessary long division. Write out the long division answer as a mixed…

A: Given,

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

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Q: A 2nd degree palynomial passes through the points (1,-1); (2,-2); (3,-1) and (4,2) Find the…

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Q: Simplify and write the resulting polynomial in standard form and indicate its degree. (17x3 - 5x2 +…

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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: Give the degree of the polynomial. 7 9 -vy

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Q: Write a polynomial of least degree with roots 6 and 9. Write your answer using the variable x and in…

A: Let fx be the polynomial .given : fx has root 6 and ∴fx has factor x-6 and x-9 .

Q: Form a polynomial whose zeros and degree are given.   ​Zeros: −4​, 4​, 9​; ​ degree: 3

A: WE need to form a polynomial where Zeros: −4​, 4​, 9​, and degree: 3. As zeros are −4​, 4​, 9, the…

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

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Q: How do you write polynomial funtions in standard form when the zeros are 5, 3i, and -3?

A: The polynomial with zeroes as a, b and c can be expressed as (x - a)(x - b)(x - c). This can be…

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: 11. Write the polynomial in standard form. 5x – 2+ 4x + 8x?

A: As part of our policy at Bartleby, I can solve only the 1st question. Given a polynomial (say P) :…

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: Write a polynomial f(x) of degree 3 that has the zeros 2" * V6, and - V6.

A: fx is a polynomial of degree 3 that has zeros 12, 6 and -6. The factors are 2x-1,  x-6  &  x+6.

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: 12. Explain how to find the degree of a polynomial

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

A:

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

A:

Q: Predict how many roots in the graph of the polynomial

A: a)  The points where  graph of function cuts  x-axis i.e. f(x)= 0 are the roots of the…

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

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Q: Describe the number and type of roots for the polynomial (number of real and complex).  x3 + 2x2 –…

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Q: write polynomial function in standard form with real coefficients whose zeros include 1, 7i,-7i

A: Given zeros are 1, 7i, -7i Find the polynomial function in standard form.

Q: Write a polynomial function in standard form with zeros -3, 2, 2.

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Q: A polynomial with two terms is called

A: To determine what the polynomial with two terms is called.

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: Write a polynomial function with the roots/zeros: 0 (with multiplicity 3), -1/2, 3/4, 7i√2, and…

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Q: Calculate (x5+9x4-3x3+5x+8)-:(x2+3x+1) using long division. Then write the polynomial statement.

A: To Calculate (x5+9x4-3x3+5x+8)-:(x2+3x+1) using long division

Q: Find a polynomial of degree 3 that has zeros 5, -5, and 8

A: Given :To determine the polynomial ofdegree 3 has zeros 5,-5 and 8.

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

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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: What is a polynomial?

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