A polynomial function with rational coefficients has the following zeros. Find all additional zeros. -3 mult. 2, 3- 3i

Q: Find a polynomial f (x) of degree 3 with real coefficients and the following zeros. 4, 3+i 6. s(x) =…

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Q: A real and rational polynomial P(x) has the zero of (1- i) given that i =V-1 is the imaginary…

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Q: Find a, b, c E R such that the polynomial f(x) = x³ + ax? + bx + c is divisible by g1(x) = x + 2 and…

A: The remainder theorem says that when a polynomial px is divided by x-a. The remainder is obtained as…

Q: A polynomial function p(x) has exactly four roots: -2i, 2i, -5, and 1. Which of the following could…

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Q: A polynomial is known to have the following roots x₁ = 4.9+ -4.3 i x2 = 2.3 x3 = (4.6) ¹/2 Determine…

A: If the root is complex number of a real coefficients polynomial then it has complex conjugate root.…

Q: Write a polynomial f(x) of degree 3 given zeros --6 and 2i. O f(z) = 2 + 6a? + 4x + 24 f(x) = 2 -…

A: finin x1=−6 & x2=2i areroots of a polynomial f(x)forof degree 3.

Q: Find a polynomial function with real coefficients that has the given zeros. (There are many correct…

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Q: Find the zeroes of the polynomials f(x) = x3 -12x2+39x, if it is given that the zeroes are in AP

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Q: Suppose that a polynomial function of degree 5 with rational coefficients has the given numbers as…

A: Other zeros of the 5 degree polynomial are to be found.

Q: Find the zeroes of the polynomials f(X) =x3-12x2+39x-28 ,if it is given that the zeroes are in AP

A: Given f(x)=x3-12x2+39x-28  Zeroes are in AP. Let the zeroes be of the form a-d,a,a+d

Q: Find the zeros of the polynomials f (u) =4u2+8u ,and verify the relationship between the zeroes and…

A: Sum of zeros = -(b/a)  product of zeros = (c/a)

Q: Find a polynomial f (x) of degree 3 with real coefficients and the following zeros. 4. -1+i s(4) = 0…

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Q: Find a polynomial f (x) of degree 3 that has the following zeros. 4 (multiplicity 2), -8 Leave your…

A: A polynomial f(x) has zeros,    4multiplicity 2, -8

Q: Find a, b, c E R such that the polynomial f(x) = x³ + ax? + bx + c is divisible by g1 (x) = x + 2…

A: The given question is related with polynomials. Given that,                  fx = x3 + ax2 + bx + c…

Q: A real and rational polynomial P(x) has the zero of (1-/3). which of the following must be a factor…

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Q: 14) 2 +i, 3+2i A) 2-i mult. 2 B) -2 + i, -3+2i C) 2-i, 3- 2i D) -2- i, -3- 2i

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Q: The polynomial function f ( x ) = x 3 − 3 x 2 + 25 x − 75 has 5 i as a zero. What is the only real…

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Q: 1. If a polynomial function p(x) has real roots of -7, 2, and 3, which of the following must be a…

A: Given that: The given polynomial p(x) has real roots of -7, 2 and 3.

Q: Find all rational zeros of the polynomial function.  P(x)=x^4+4x^3+6x^2+4x+1

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Q: Given the polynomial f(x)=x^2−3x, what is the smallest positive integer a such that the Intermediate…

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Q: A basic fact of algebra states that c is a root of a polynomial f if and only if f(x) = (x -…

A: (a) x 5 + 2x 4 - 4x 3 - 8x2 - x + 2  To find whether c=-1 is a multiple root we have to subs. c=-1…

Q: Find the zeros of the polynomials f(X) =x3 -12x2+39x-28,if it is given that the zeros are in AP

A: Explained below

Q: 6. Suppose the polynomial function has the given root. Find the other roots (a) f(x) = 2r3 – 4x2 –…

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Q: Given that the polynomials has the given roots, find the other roots.   1. F(x)= x^3+5x^2-2x-10.…

A: As you have asked a question containing multiple subparts and not mentioning which subparts to be…

Q: 2. Determine if x = 3,x = -4, x = are zeros of the following function, using either the Remainder or…

A: f(x) = 2x3 -7x2 -24x +45 To determine, whether if x=3, x=-4, x=3/2 are zeros of the given function…

Q: Which of the following numbers is not a potential rational zero of the polynomial function -p(x) =…

A: The given question is solved below.

Q: Find all rational zeros of the function f (x) = 9x ^4 −9x ^3 −58x ^2 +4x +24

A: Consider the provided function.

Q: A real and rational polynomial P(x) has the zero of (1-√3). Which of the following must be a factor…

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Q: The ________ Theorem states that if a polynomial f(x) is divided by x − k, then the remainder is r =…

A: The ________ Theorem states that if a polynomial f(x) is divided by x − k, then the remainder is r =…

Q: Find all the real zeros of teh polynomial. Use the Quadratic Formula if necessary given. P(x) = 4x3…

A: Zeroes are those values for the polynomial which gives zero value for the polynomial when replaced…

Q: 39. Determine if the following functions are odd, even, or neither: a) c) f(x) = x° – 7x + 8x 40.…

A: Solution

Q: Find all possible rational zeros for the polynomial function. P(x) = 22x-34x2 +48x-15 Choose the…

A: To solve this question we have to use concept of Rational zero theorem.

Q: nd all rational zeros of the polynomial f (x) = x* – 2x3 – 24x² + 50x – 25 %3D

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Q: 15) -3 + V2, -1+ Vi A) -3 - V2, -1 - VT B) 3+ V2, 1+ vT C) None DI 3

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Q: The coefficient of x' in the cubic polynomial g(x) is a, where a >0, The repeated roots of the…

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Q: Find a quadratic polynomial such that f(1) = 5, f'(1) = 4, and f"(1) = 8.

A: The quadratic polynomial is of the form: f(x)=ax2+bx+c...(1) Now,…

Q: Suppose that R(x) is a polynomial of degree 8 whose coefficients are real numbers. Also, suppose…

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Q: Find the polynomial f(x) of the degree 3 that has the indicated zeros and satisfies the given…

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Q: 16) –1 +2V2, 1+ V7 A) None B) –1 – 2V2, 1- VT D) 1+2/2, -1+ V7 C) 1– 2v2, -1– V7

A: As we know that if a polynomial have any one irrational root in form of a+b then other root of that…

Q: 1. Consider the polynomial f(x) = (x – 1)(x+2)(x- 3)(x+5). A. What are the roots of f? B. Suppose…

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Q: Suppose that R (x) is a polynomial of degree 12 whose coefficients are real numbers. Also, suppose…

A: Given,            Suppose that Rx is a polynomial 12 whose coefficients are real numbers.…

Q: Find the zeroes of the polynomial f(x)=x3-12x2+39x-28 ,if it is given that the zeros are in AP

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Q: Find an nth degree polynomial function with real coefficients satisfying the given conditions n=3,…

A: Since ,n=3,we have to find third degree polynomial , Since -5 is its zero ,so, x+5 is its factorAs…

Q: Given that 2 is a zero of the function f(x) = x° – 5x? + 6x + 0, find the other zeros, and write…

A: We have f(x) = x3 -5x2 +6x +0

Q: Suppose that R (x) is a polynomial of degree 9 whose coefficients are real numbers. Also, suppose…

A: Given that R(x) is a polynomial of degree 9 whose coefficients are real numbers. Also suppose that…

Q: Use the Rational Roots Theorem (p's and q's) to list all the possible rational zeros of the…

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Q: Which of the following polynomial functions has the roots 3, -1, 1, 4?   a. P(x)= x4 - x3 + 13x2 -…

A: The general form of a polynomial equation of degree n is given by a0xn+a1x1....+an-1x+an=0. The root…

Q: Which of the following polynomial functions is/are odd function(s)? a) y--2x* - 2x + 5x – 2 b) y--2x…

A: A function y=f(x) is even if f(-x)=f(x) and odd if f(-x)=-f(x) . Substitute -x for x in the equation…

Q: Find a polynomial f (x) of degree 3 with real coefficients and the following zeros. 2, 3+i s(4) = 0…

A: Given  X =2,3+i