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

Q: 10. Write a third-degree polynomial f(x) with integer coefficients and zeros of 5, -, and 4.

A: Let the polynomial is  fx=αx-15x--23x-4=αx-15x+23x-4=α5x-153x+22x-4 Coefficient will be integer if α…

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

A: Determine whether p(x) = x3+x+1 is irreducible over  Sol: we know that , let f(x) be a polynomial in…

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

A: Given: R has degree 4 and zeros 3 - 4i and 4, with 4 a zero of multiplicity 2.

Q: 6. Find the nth degree polynomial that satisfies the given conditions. (R__S_ n = 4, and 2 + 3i are…

A: Given: - The conditions are, n=4, 13and 2+3i are zeros: f(1)=100 To find: - The nth degree…

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

A: A polynomial is basically a function, which can either be quadratic, cubic and so on in which the…

Q: The polynomial of degree 5, P(r) has leading coefficient 1, has roots of multiplicity 2 at z = 4 and…

A:

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

A: Given problem:- find a polynomial with integer coefficients that satisfies the given conditions.  R…

Q: The polynomial of degree 5, P(r) has leading coefficient 1, has roots of multiplicity 2 at a = 2 and…

A: Given information: The degree of the polynomial is 5,    the root of multiplicity 2 at x=2 therefore…

Q: The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplicity 2 at r = 4…

A: Given that the polynomial is of order 5. Root of multiplicity is 2 at x=4, x=0. Root of multiplicity…

Q: Find a polynomial of a degree n that has only the given zero(s). x=-8,5,3; n=3

A:

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: 2. Find a formula for the polynomial that matches the follo Degree 5. Single zero at x=-2 and x-3,…

A:

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

A: Follow the procedure given below.

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

A:

Q: Find a formula for the polynomial P(x) with • degree 3 • a root of multiplicity 2 at z = 1 • a root…

A: Result used: If a polynomial function has zeros or roots of r1,r2,r3,…, then the polynomial function…

Q: A polynomial of degree n 2 1 has exactly zero(s) if a zero of multiplicity m is counted m times.

A:

Q: 11. Find the quadratic polynomial y = ar +br+c whose graph passes through the points (-2,-16),…

A:

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

A:

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

A: Given, polynomial R has degree 4, and zeros 1-2i and 1, with 1 being a zero of a multiplicity of…

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. T has degree 4,…

A:

Q: Consider the homogenous polynomial ai + 10r1r2 + x². Find a suitable substitution s = Question 3 azi…

A:

Q: Find a polynomial P(x) of degree 3 that has integer coefficients and zeros 1/2 and 3 - i.

A: 3-i+32+1=-i2+1=-1+1=0 So 3-i  is a zero of " x+32+1 ". . . . . . (1). 2·12-1=1-1=0 So 12 is a zero…

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at a = 5 and…

A: Roots of multiplicity at x=5 and x=0. So, (x-5)2 and x2 are factors of P(x). And x=-3 is the root…

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…

A:

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 5 and a root of multiplicity 1…

A:

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: The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplicity 2 at x=4 and…

A: Topic - polynomials

Q: 8. Find a polynomial of degree 4 that has integer coefficients and zeros: 1, -1, 2, ½. Q(x) : %3D

A:

Q: The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplicity 2 at x = 3…

A: We want to find required polynomial.

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

A: Given: Degree of polynomial is 7. The given zeros of the polynomial are, 2 with multiplicity 4 can…

Q: Find a formula for the polynomial P(z) with degree 3 • a root of multiplicity 2 at a = 4 • a root of…

A: Given, The polynomial P(x) with degree 3 A root of multiplicity 2 at x=4 is x-42 A root of…

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

A: Solution is given below:

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

A:

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

A: If a complex is a root of polynomial then it complex conjugate is also a root.

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

A: The given conditions of a polynomial T with integer coefficients are,

Q: 8.8.18. Use a known Taylor polynomial with n nonzero terms to estimate the value of the integral. n-…

A: Taylor series expansion is given on the White board. Since n = 4 , the approximation will be done…

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

A: To fill in the blanks where statement is A polynomial of degree n≥1 has exactly ......... zeros if a…

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

A: Answer

Q: How many irreducible polynomials of degree 4 are there in Z/2[X]?

A:

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 a formula for the polynomial P(x) with • degree 3 • a root of multiplicity 2 at x = 5 • a root…

A: By factor theorem, for the root x=a of the polynomial P(x) the factor is (x-a). So, the factor for…

Q: Find a formula for the polynomial P(x) with degree 3 leading coefficient 1 zeros at 8, 5, and 0…

A: polynomial P(x) with degree 3 leading coefficient 1 zeros at 8, 5, and 0

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = =0,…

A: To find the possible formula for P(x) satisfying the given conditions.

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: The polynomial of degree 5, P(r), has leading coefficient 1, has roots of multiplicity 2 at z = 1…

A: