9. Find a fourth-degree polynomial with integer coefficients that has zeros 3i and –1, with -1 a zero of multiplicity 2.

Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and…

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Q: Find a polynomial with integer coefficients that has degree 4 and zeros 1−2i and 1, with 1 a zero of…

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Q: i. Suppose p is an irreducible polynomial of degree n with coefficients in Q. Then p has

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Q: 8. Find a polynomial of degree 4 with integer coefficients and zeroes 3i and 4, with 4 a double…

A:

Q: Find a polynomial of degree 4 with 9 as a zero of multiplicity 1 and 4 as a zero of multiplicity 3

A: A polynomial of degree n has a zero  a  of multiplicity k iff (x-a)k is a factor of polynomial

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Q: Give an expression for f(x) of degree 3 with roots z = -4 and r = -2, where the root at r = -2 has…

A: Zeroes are x=-4 and x=-2and x=-2 has multiplicity 2

Q: Find a polynomial of degree n=3 that has the given zero(s) x = −2, 6

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Q: If f(x) is a polynomial with real coefficients and zeros of 5 (multiplicity 2), –1 (multiplicity 1),…

A: The number of zeroes are 4. But one zero has a multiplicity of 2 that is the zero is repeated.

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

A:

Q: If f(x) is a polynomial with real coefficients and zeros of –2 (multiplicity 3), 3 (multiplicity 2),…

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Q: Find a polynomial with integer coefficients that satisfies the given conditions. S has degree 4 and…

A: Given, 4 degree zeroes = 2i and 3i

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

A: Let Q (x) be a polynomial that has degree 3, and zeros 0 and i. We know that if a+ib is zero of a…

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

A: From the given data

Q: A polynomial of degree n  1 has exactly zeros ifa zero of multiplicity m is counted m times

A: A polynomial of degree n≥1 has exactly  ___________  zeros if a zero of multiplicity m is counted m…

Q: Form a polynomial with a Degree 4; zeros:4+2i, -1 multiplicity 2

A:

Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and…

A: Follow the procedure given below.

Q: 1 is a zero of the polynomial P(x) = x³ – 3x* + 7x³ – 13x² + 12x – 4 of multiplicity (а) 3 - - (b) 5…

A: 1 is the zero of given polynomial.

Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and…

A: We know that If a complex number a+ib is a zero of a polynomial, then a-ib is also zero of that…

Q: If f(x) is a polynomial with real coefficients and zeros of 4 (multiplicity 3), –2 (multiplicity 1),…

A: The multiplicity means that the zero of the polynomial is repeating. For example, let's take a…

Q: 6. Determine the constant term of the polynomial with integer coefficients of lowest degree with…

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Q: The fourth-degree polynomial f (x) = 230x* + 18x³ + 9x² – 221x – 9 has two real zeros, one in [-1,…

A: Iteration formula for secant method is:  xn+2=xn-f(xn)⋅xn+1-xnf(xn+1)-f(xn)…

Q: Find a formula for the polynomial P(x) with degree 3  leading coefficient 1 zeros at 8, -6, and 7…

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Q: (2) Construct the Simpson 3/8-th formula to approximate f(x)dr by using La- grange interpolating…

A: Given: ∫abf(x) dx and the function f(x), where the interval of integration a, b is divided into n=3…

Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and…

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Q: The fourth-degree polynomial f (x) = 230xt + 18x³ + 9x? – 221x – 9 has two real zeros, one in [-1,…

A: The given problem is to find the two real roots of the fourth degree polynomial at accuracy 10-6, we…

Q: Find a polynomial of degree n=4 that has the given zero(s) x = −4, −1

A: Find a polynomial of degree n=4 that has the given zero(s) x = −4, −1

Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and…

A: The objective is to find the polynomial R(x) With integer coefficients that satisfies the condition,…

Q: 2. Find a polynomial with integer coefficients that has degree 3 and zeros 3, 2i, -2i.

A:

Q: D. Find a fourth-degree polynomial with integer coefficients that has zeros 3i and -1, with -1 a…

A: The given zeros are 3i,-3i,-1 and -1.

Q: 7. Find a fourth-degree polynomial with integer coefficients that has zeros x=3i and x=-1. The root…

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Q: Express p (x) = x3 as a Taylor polynomial about a = 1/2

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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 with integer coefficients that satisfies the given conditions. R has degree 4 and…

A: Here we need to find the polynomial R of degree 4, R has degree 4 and zeros at (4-2i) and 2 with…

Q: Does there exist a polynomial of positive degree in ℤ6[x]Z6[x] that is a unit?

A: First, we understand how units in R[x] are identified. Let R[x] be an integral domain. An element…

Q: 21. Find a fourth-degree polynomial with integer coefficients that has zeros x=3i and x=-1. The root…

A: Let f(x) be a fourth degree polynomial with integer coefficients. The zeros of the polynomial f(x)…

Q: - Find The polynomial of degree 7 which has only the following zeros: 2( multiplicity 4), 4(…

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Q: Suppose that a polynomial function of degree 4 with rational coefficients has the given numbers as…

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Q: Polynomial of lowest degree with zeros of -2 (multiplicity 2) and 3 (multiplicity 2) and with f (0)…

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Q: does there exist a polynomial of degree 3 with real coefficients that has zeros 1, -1, and i?

A: Consider the given roots. 1,-1, i and -i for complex roots. Now, make the polynomial.…

Q: Find a formula for the polynomial P(x) with • degree 10 • leading coefficient 1 • root of…

A: Solution is given below:

Q: 7. Find a polynomial of degree 3 that has the given zeros: -1, 1, 3 and a constant term equal to -9.

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Q: 3. A polynomial of degree n 21 has exactly a zero of multiplicity m is counted m times. zeros if

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Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and…

A: Answer

Q: 8 Σ n=1 an, an = ýnt + 4n3 + 6n2 – 3/ P(n)

A: Given : infinite series      ∑n=1∞an ,   an=n4+4n3+6n24-Pn3 To find : third degree polynomial Px…

Q: Find the fifth Taylor polynomial of x3 - 7x2 + 8 at x = 0.

A: Given: fx=x3-7x2+8

Q: 22. The function In x grows slower than any polynomial Show that In x grows slower as x → oo than…

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Q: 18. Given the polynomial irrational roots. f(x)=2x²-x²-5 . use linear interpolation to approximate…

A: Given: The polynomial is fx=2x3-x2-5. To find: The roots of the given polynomial.

Q: Find a polynomial P(x) with rational coefficients that has degree 5 and zeros, -2, 1+2i, and -1-2i…

A: