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

Q: How do I complete the square on thsi following polynomial: x2-6x+12-y=0 To end up with:…

A: x2-6x+12-y=0 cannot be expressed as (x-3)2+4-y=0 because (x-3)2+4-y=0 when expanded will give…

Q: (a) Factorise z° + 1 over the real numbers.

A:

Q: polynömial that passes through the three points (0, 1), (1, 2) and (2, 23). If the coefficient of x…

A:

Q: 4. If x=-4 and x=1 are the roots of x* + 3x' - 3x +3x – 4 = 0, find the other two roots of the…

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Q: Express the polynomial x3 + 2x+3 EZ-[x]as a product of irreducible polynomials of 75[x].

A:

Q: 1) Sketch a cubic polynomial whose zeros are -1, 2, and 9

A:

Q: Show that x2 + 3x + 2 has four zeros in Z6.

A:

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: How many roots are there for the polynomial that factors into f(x) = (x² – 1)(x + 2)(æ – 1)2? 3.

A: no of roots = ?

Q: 5. For how many different integers bis the polynomial x² + bx + 16 factorable over the integers?

A: From the given data

Q: A. Determine the factors of the given polynomial. 1. х3 + 2х2 -5х-6 2. х3 + x2- х-1 3. x3- x2- 10x-8

A:

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

A:

Q: 7. What is the constant term of the polynomial expression: x* – 2x + x² – 5x + 6? А. 1 8. Express:…

A: Let's find.

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: 1. Determine the equation for a polynomial given a degree of 1 with zeros at o, 2 (multiplicity 3),…

A: To find the equation in factor form

Q: Prove that (x+2) is a factor of 3x'+8x+x-6 and find the other factor.

A: we have to find factor of the polinomial

Q: 18. Express the polynomial 6x -x +2x-4 in standard form. 6x'-2x-4 7 +2x-4 -4+2x-5x 5x +2x-4

A: standard form is the form in which polynomial is written decreasing power of x and all different…

Q: Suppose 34 is a root of a polynomial equation. What does this tell us about the leading coefficient…

A: we have been given that the root of a polynomial equation is 34. we have to tell about the leading…

Q: 1. It is known that the polynomial p(x) = 2 – (x + 1) + x(x + 1) – 2æ(x + 1)(x – 1) interpolates the…

A: Solution by using Newton's forward difference interpolation method .

Q: The number of zeros of the polynomial x² + 2x + 3 in Z, is: O 2 None

A: Number of zeros in the polynomial equation is termed as the whole polynomial equation is zero for…

Q: For what value of a will five of the six real roots of 6x6 + 7x5 _ 43z4 - 153 + 49z2 + ax polynomial…

A: For what value of a will five of the six roots of polynomial P(x) be shared by the polynomial Q(x)

Q: Then by using "Newton's interpolating polynomial method", the scientist got the following polynomial…

A:

Q: Show that x2 + 3x + 2 has four zeros in Z6

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Q: 9.)-2, 5 -3.2 3

A: Since you have posted a multiple question according to guildlines I will solve first question (i.e…

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: 4. When the polynomial P(x) is divided by (x-2)2 the remainder is 3x - 3. What is the remainder when…

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Q: Show that the polynomial z5 + 14z + 2 has four zeros in the annulus </2 < 2.

A: Given

Q: 16. Find the smallest root of x - 3x +2x2 - 3x – 1.6 = 0.

A:

Q: If the result of a polynomial division is  2x^3-4x^2-5x+23/X+2 make at least three definitive…

A: Given result of the polynomial is- 2x3-4x2-5x+23x+2 Here, Quotient = 2x3-4x2-5x Remainder = 23…

Q: 1. Classify the following polynomial by degree and by the number of terms 3. 2 7x° + 2x + 3x + 9

A:

Q: I. Use the Factor Theorem to determine whether the given binomial of the form x - cis a factor of…

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Q: Give a polynomial equation with integral coefficients that has the following roots. 0, -3, -1, 2

A: This question is related to polynomials, we will solve it using given information.

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: Give a polynomial equation with integral coefficients that has the following roots. ±2 , ±3

A: To give a polynomial equation with integral coefficients that has the following roots.±2 , ±3

Q: Choose only one method under the LU Factorization Method to find the roots of the following set of…

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Q: I. Use the Factor Theorem to determine whether the given binomial of the form x - c is a factor of…

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Q: 42. What is the polynomial equation whose roots are {-2, 2, and 4 of multiplicity 2} A. 2x* - 2x +…

A: As per bartleby guidelines we only give first question answers.

Q: what is the factored form of ax^2+bx+c where the roots are x1 and x2?

A:

Q: 2) When a polynomial, ax-3x² - bx - 5 is divided by the binomial (x-3), the remainder is 10. When…

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Q: Find a polynomialf (x) of degree 3 that has the following zeros. 6 (multiplicity 2), –1 Leave your…

A: Given; 6(multiplicity 2),-1.

Q: 29. Select the quadratic polynomial with roots –1 and 4. x2 + 3x – 4 x3 – 2x2 – 7x – 4 4x² + 8x + 4…

A:

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: If x = -1 is a root of the polynomial 0 = æ³ + 2x2 – 5z – 6. what are the other roots? Ox =-3, x = 2…

A: see next step

Q: 1. Use the Factor Theorem to determine whether the given binomial of the form x - cis a factor of…

A: Given:- f(x) =4x3+4x2-11x+4  To find:- Use the Factor Theorem to determine 2x-1 is a factor of the…

Q: 9. Use the graph of )-+3x-4 to identify the values of x for which - and to factor ). a. x- 2,x - c.…

A: Topic - functions Point at which graph cuts the x axis is zero of the polynomial or f(x)=0 at that…

Q: 2a] aS a product Of irreducible polynomials.

A:

Q: 17. How can you quickly determine the number of roots a polynomial will have by looking at the…

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Q: Consider a quadratic polynomial with a negativ main coefficient and a negative discriminant. Which…

A: Consider a quadratic polynomial with a negative main coefficient and a negative discriminant. Which…

Q: 24. Determine the number of zeroes of the polynomial z7 – 6z5 + 8 in the annulus 1 < |z| < 2.

A: