Use the Factor Theorem to determine whether x+3 is a factor of P (x) = -2x* - 5x'+ 4x-9. Specifically, evaluate P at the proper value, and then determine whether x+3 is a factor.

Q: Find a polynomial function with real coefficients that has the given zeros.

A: The given zeros are -52, -5, 1+3i

Q: 24. Use the Factor Theorem to determine whether x – c is - a factor of f (x). f (x) = x* – 5x2 – 36…

A: Given, fx=x4-5x2-36  ;        x-3

Q: The number of zeros of the polynomial x² + 4x +1 in Z, is: 4 2 None

A:

Q: Find the root of 4x³ +3x² + 2x +11 over the interval [-2,–1].

A: We will find out the required root.

Q: Verify the factorization by using synthetic division 3x3 - 5a2-4x + 4 = 3(x+ 1)(x– 2)(x –) Verify…

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Q: Find a polynomial (fx) of degree 5 that has the following zeros. -9, 4, 6, -7, 3 Leave your answer…

A: Find a polynomial f(x) of degree 5 that has the following zeros. -9, 4, 6, -7, 3 Leave your answer…

Q: Find the polynomial of the lowest possible degree which assumes the values 3, 12, 15, 21 when x has.…

A:

Q: Find a fourth degree polynomial with real coefficients that has zeros of -3, 2, i that passes…

A: Let us consider a fourth-degree polynomial:

Q: Find a polynomial that interpolates (-1,4) and (3,6), then find the value of f(x) at x=0 and x= 2.

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Q: Find a polynomial with -3, 0, 4 as zeros, and of degree 3.

A:

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

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Q: Express as a polynomial. (4x - 3y)(x - 5y)

A: Given: (4x - 3y)(x - 5y)

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: express 5x2 - 3x + 6 in terms of Legendre's polynomial.

A:

Q: Express the polynomial x5 + 3x3 + x2 + 2x as a product of its irreducible factors in Z5[x].

A: Given: [May be the question is wrong, otherwise the given solution is correct.] The given polynomial…

Q: The number of zeros of the polynomial x² + 3x + 2 in Z, is: 4 2 1 None

A: The polynomial is given as f(x)=x2+3x+2 Z6=0,1,2,3,4,5

Q: Prove that x- 3 is a factor of the polynomial x + 4x-17x2-14x + 6 without referring to the graph.

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Q: Test the polynomial x – 2x3 + 6x – 3 for irreducibility over Q.

A: We have to check whether the polynomial x4-2x3+6x-3 is irreducible over the set of rational numbers…

Q: ) Express 8-x over Q[x] and over F2[x] as a product of irreducible ynomials.

A:

Q: Determine whether the polynomial 8+ 6x – 3x² belongs to Span{2+x – a², 1- 1, 4r²} or not.

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

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Q: State the number of solutions for the polynomial. f (x) = x6 - x4 – 25x2 + 24 ----

A: We have to find the number of solutions for the polynomial…

Q: Construct a polynomial with Rational Coefficients with: Even Degree · Roots of 1, 2, -3 y-intercept…

A: Given that:                    A polynomial with:   Even Degree   Roots of 1, 2, -3   y-intercept of…

Q: Use synthetic division to show that f(x) = x³ + 3x² – 13x – 15 is divisible by the linear factor x +…

A: Given query is to use synthetic division on f(x) , and find its factors.

Q: Show that x2 − 4 is a factor of x4 − 5x3 + 2x2 + 20x − 24.

A:

Q: Select the factors that multiply to create a polynomial with this description: (1) As x→-0, y→-∞ (2)…

A: Given x→-∞ and y→-∞ and x→∞ and y→∞ and x=4 is a root

Q: Prove that 3x3+ 5x - 11 has a root between x=1 and x=2. Thanks!

A:

Q: Verify that 3,-1 and -1/3 are the zeros of the cubic polynomial p(x) =3x2-5x2-11x-3 and them verify…

A: Please refer to the image below

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: Determine the positive root of x4+0.8x3-2.5x2-3.5x-24.3=0 Use any methods

A: Let's find.

Q: List all the potential rational zeros of f1x2 = 12x8 - x7 + 6x4 - x3 + x - 3.

A: Given: f(x) = 12x8 -x7+6x4-x3+x-3 To list: The potential rational zeros of the polynomial f(x).

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: 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: Show that x21 + 2x8 + 1 does not have multiple zeros in anyextensionof Z3.

A:

Q: The number of zeros of the polynomial x² + 2x + 3 in Z, is: 2 1 4 None

A: 2

Q: attained by the func x 2) in the interva

A:

Q: The fourth-degree polynomial f (x) = 230x4 + 18x³ + 9x² – 221x 9. - - has two real zeros, one in…

A: The given polynomial is - f(x)=230x4+18x3+9x2-221x-9 It is also given that the given function has…

Q: Simplify and write the resulting polynomial in standard form and indicate its degree. (8x2 + 7x - 5)…

A: Simplify and write the resulting polynomial in standard form and indicate its degree. (8x2 + 7x - 5)…

Q: Determine Number of Zeroes Num of the Polynomial function: F(x)=x²₁²-9x Zero (5)

A: We have to find zeros

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: We can apply Eisenstein criterion for irreducibility of the polynomial 4x10−9x3+24x−18 over Q. true…

A: Using Eisenstein Criterion for irreducibility of f(x) over Q,

Q: is the polynomial x^8 - solvable by radicals

A: Let f(x) =x8 Let t=x2 ,This implies that f(t) is a polynomial of degree less than of equal to 4.…

Q: List all of the potential rational zeros of f (x) = 6x^(4)-9x^(3)+ 10x + 15.   precaluclus

A: The solution is given below

Q: - -2x4 + x - 2x² + 3x – 1.

A:

Q: x2 - 4 is a factor of x4 - 5x3 + 2x2 + 20x - 24

A:

Q: Find a real root of 4*exp(-x/2)-3*In(x)-3 = 0 using False Position method with a=0.1 and b=2.0…

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

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Q: To find the possible roots of the polynomial 4x3 + x4 - 7x² - 8x - 8

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

A: Use the definition of irreducible polynomial and property of ring Z_5[x].