Find a third-degree polynomial that has integer coefficients and zeros and 3+i. Evaluate (V12 - V-3) (3 + v-4) and express in the form a + bi, for some real numbers a and b.

Q: Find a polynomial with integer coefficients that satisfies the given conditions. P has degree 2 and…

A: 3+i is a zero, so [x-(3+i)] or (x-3-i) is a factor of P. 3-i is a zero, so [x-(3-i)] or (x-3+i) is a…

Q: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and…

A: We will solve this problem using the fact that if 3 is a root of a polynomial, then it is divisible…

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: Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose…

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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: Find a polynomial (x) of degree 4 that has the following zeros. 7, -6, 0, -3 Leave your answer in…

A: Given Zeros of the 4th degree  polynomial are  7,-6, 0 and -3. Note: If a, b, c and d are the zeros…

Q: If alpha and beta are zeroes of x^-x-30,then form a quadratic polynomial whose zeroes are –2alpha…

A: α & β are zeroes of x2-x-30. That is, α+β=--11  &  αβ=-301   ∵If α & β are zeroes of…

Q: 1. Find the zero's (aka roots) of the polynomial function and state the multiplicity of eac (i) (2.x…

A: Put polynomial =0

Q: xpress the polynomial in factored form p(x)=x^3-x^2-8x+12

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Q: Find a polynomial f(x) of degree 3 that has the following zeros. 5, 1, -6

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Q: Suppose that R (x) is a polynomial of degree 10 whose coefficients are real numbers. Also, suppose…

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Q: Find the zeros of the polynomials f(x) =x2 -5x2 -16x +80 ,if it's two zeros are equal in magnitude…

A: The answer is given below:

Q: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and…

A: Given:Q is a polynomial of degree3roots :-9,1+i

Q: Find a possible formula for a polynomial with degree n=2 and the zeros are x = -4 and x = 11.

A: Let the polynomial at 2nd degree be             P(x) = x2 + ax + b Given, Zeroes are x = -4 and x…

Q: Find a polynomial of degree 3 that has zeros of 3,-4, and 5, and where the coefficient of x2 is 8. O…

A: Given that the zeros are 3, -4 and 5. So the factors of the polynomial is (x-3), (x+4) and (x-5)…

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

A: Solution: The objective is to find the zeroes of the given polynomial

Q: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and…

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Q: Find a polynomial of degree 3 with real coefficients that satisfies the given conditions. Zeros of -…

A: Find a polynomial of degree 3 with real coefficients that satisfies the given conditions. Zeros of…

Q: find the polynomial of lowest degree with integer Coefficients & zeros 1, 3, i

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Q: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and…

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Q: Find a polynomial function P, with real coefficients, that has the indicated zeros and satisfies the…

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

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Q: find the zeros of the quadratic polynomial x2 +7x+12 ,and verify the relation between the zeros and…

A: Given the polynomial x2+7x+12=0

Q: Find the zeros of the quadratic polynomial f(x) =abx2+(b2-ac) x-bc,and verify the relationship…

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Q: Find the zeros of the polynomials f (x)=x'-5x² – 2x + 24, If it is given that the product of its two…

A: *to find:- roots of the given equation.

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: Show that the given values for a and b are lower and upper bounds for the real zeros of the…

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

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Q: Find a polynomial function of degree 3 that has zeros 1, -2, and 3 and in which the coefficient of x…

A: We need to find the a polynomial function of degree 3 that has zeros 1, -2, and 3 and in which the…

Q: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and…

A: Since, we know that if a zero of the polynomial is a complex number,the its complex conjugae will be…

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

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

A: Imaginary roots always exists in pairs.

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 a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and…

A: note: For any polynomial f(x), if x=a is the zero of f(x), then (x-a) is a factor of f(x). Also it…

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 a polynomial f(x) of degree 5 that has the following zeros. 6, -9, 4, 0, 3. Leave answer in…

A: topic - polynomials

Q: Find a polynomial f (x) of degree 3 that has the following zeros. 0, 5, -8

A: Given problem is :

Q: A fourth-degree polynomial with real coefficients canhave −5, −8i, 4i, and 5 as its zeros.

A: Given the statement that a fourth degree polynomial has real coefficients can have  -5 ,-8i 4i and 5…

Q: Find the polynomial f(x) of lowest degree with only real coefficients and having the zeros 3+ V2, 3-…

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

A: To find out another zero of R(x) and maximum number of real zeroes that R(x) can have.

Q: Let z1 and z2 be the roots of the polynomial p(z) = 2z2 + 4az + 1862, where a, b e C and b # 0. Show…

A: We have to solve given problems:

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

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Q: Find a polynomial with integer coefficients that satisfies the given conditions. P has degree 3 and…

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Q: Show that a cubic polynomial x3 + Ax2 + Bx + C has one real zero and two pure imaginary zeros only…

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Q: Show that the given values for a and b are lower and upper bounds for the real zeros of the…

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Q: Find a polynomial f(x) of degree 3 that has the following zeros.  -8,0,5 leave answer in factored…

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Q: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and…

A: Given Q(x) has degree 3.

Q: Find a polynomial function of smallest degree with integer coefficients that has the given zeros.…

A: Given the zeroes of polynomial : 34,4+2i,4-2i

Q: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and…

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