Find a QR-factorisation of 1 1 -1 1 | 1 1 1 1 0 -

Q: 2. Decide if the following polynomials are reducible in Q[x]. (a) 2x3 – 3x + 3; (b) 4x3 — 5х + 2.

A:

Q: . Do the polynomials x? + 2, 2x? – x + 1,x + 2, and x² + x + 4 span P2?

A:

Q: 4n^12-32n^7+48n^2

A:

Q: 1.2a-Dividing Polynomials Ha aial answer in standard form. 2x + 11x + 5 x+S

A:

Q: 1. Factor 2x? + 14x + 24 Factor 2r + 14x + 24 GCF=2 Rewrite Expression after pulling out GCF: 2 (x²+…

A:

Q: Which of the following represents a factor of 6x² + 10x 16 - O (2x +8) O (3x -2) O (6x -8) O (3x+ 8)

A: Simply Factories the quadratic equation and match the each factor with given options.

Q: Is 7x to the 3rd power a polynomials

A: A polynomial is an algebric expression with at least one term in it.Given expression is 7x3. Here…

Q: 2 1 1 -4 Find the QR factorization of A = 1 -4 1 -4

A: Given matrix is 1211-4212-41-40 find the QR factorization

Q: Express the polynomial a+ 3 +a2 + 2r as a product of its irreducible factors in Z,lr).

A:

Q: 1. Show whether the given polynomials 1+4x + x², 2+ 5x + 3x2, 3x 5x, and 3+ 15x - 8x spans p,.…

A:

Q: find the degree of the polynomial. 5xy3 + 2x2y2 - 3x3y2

A: The degree of a polynomial is equal to the highest degree of any individual term within the…

Q: Factor the Polynomial O prime O ((2/3)c + (1/4)h^2)((2/3)c - (1/4)h^2) O ((2/3)c + (1/4)h)((2/3)c -…

A:

Q: 10. Which of the following polynomials is NOT divisible by (3x+ 1)? A. 6x2 + 17x+ 5 B. 3x - 4x2+…

A: Use remainder theorem

Q: A. Determine the factors of the given polynomial. 1. х3 + 2х2 -5х-6 2. х3 + x2- х-1 3. x3- x2- 10x-8

A:

Q: Find k such that f1x2 = x4 - kx3 + kx2 + 1 has the factorx + 2.

A:

Q: 6. Factor each polynomial using the factor theorem.1 3- 3x2. 10x + 24 d) 4x* + 7x e) x - 5x – 7x³ +…

A: We find out the factors of the given polynomials.

Q: Explain the formula for the Hermite interpolating polynomial?

A: In any polynomial function if the values for the function is known for some data points and the…

Q: Find the coefficient of x5 in (1 – 2x)-7 using generating function.

A: Given to find the coefficient of x5 in 1-2x-7 The generating function will be Gx=1-2x-7…

Q: How do i find the ral seros of  a given polynomial and their corresponding multiplicities?…

A: We have to find the zeroes and their multiplicities.

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

A:

Q: Find the value of k such that x-3 is a factor of x^3-kx^2+2kx-12.

A: Given that, x - 3 =0 And x3 -kx2 + 2kx -12 = 0

Q: (a) Determine whether the polynomials 1+ 3x + 3x?, x + 4x?, 5 + 6x + 3x², 7+ 2x – x² linearly…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 11. Rewrite the polynomial in Standard Form: 12-3x- 10x -x2 O b) 3x³ - x² +10x + 12 O a). 3x3-…

A:

Q: Find a polynomial with integer coefficients that has 1/2 and -1/3 aszeros.

A: Since the required polynomial is to have two zeroes, it's degree should be 2 i.e. It should be a…

Q: Use the LU factorization to find all solutions to Ax = b. 0 01 -2 7 1 4 1 0 0 -8 3 A = 1 -2 10 8 6 0…

A:

Q: The polynomial p(x) = x°- 21x – 20 has a known factor of (x- 5). %3D | Rewrite p(x) as a product of…

A:

Q: 11. Factor the polynomial completely. 2x (3x+6) (x + 2) 6x (x + 2) (x+3) O6x (2x+3)(x+2) 3x (x + 3)…

A:

Q: 1. Compute the resultant of x – 3x* – 2r + 3x + 7x + 6 and x* +² + 1. Do polynomials have a common…

A: Given: To calculate the resultant of .

Q: 1. Find the sum of the polynomials: (5x°-2x+x)+(4x° – 3xª +2x³-5x) O x5 +3x4-4x3+6x O 9x5+3x4-4x³+6x…

A:

Q: 3. Find the greatest common divisor of: (a) The polynomials r³ + x² + x and r³ +x* +x² + x in Z2.

A: The given polynomials are: x3+x2+x, x5+x4+x2+x The given group is ℤ2.

Q: 23. Express the polynomial 2m -3+ 7m in standard form. 2m + 7m-3 9m -3 7m+ 2m - 3 -3+ 7m+ 2m

A: Given expression of polynomial 2m2-3+7m

Q: Find the roots of the quadratic polynomials: 6x^2+5x−1 4x^2+4x−4

A:

Q: 1. Use the Factor Theorem to determine whether the given binomial of the form x-c is a factor of the…

A: We have to determine given factor is a factor of given polynomial.

Q: I. Use the Factor Theorem to determine whether the given binomial of the form x - c is a factor of…

A:

Q: 6. Which polynomials have 4 roots? Select all that apply. 3x* – 81 = 0 4x + 4x + 4 = 0 2x4 + 3x? +…

A: The root of the polynomial is measured by its degree. Degree of a polynomial is the highest power of…

Q: 2. Rewrite the following polynomial in standard form: Sx-4-3x+2.x 3. What is the constant term in…

A: solution Q2 standard form of the polynomial = ax4 + bx3 +cx2 + dx +e

Q: 2. Determine whether the polynomial 1+ x + ? is a linear combination of P, = 2+x+x², p, = 1-x, p, =…

A:

Q: 1 1 1 1 2 1 of finding the coefficients are equivalent

A:

Q: -2 0 -0.99 -0.12] Find the QR factorization of A -1 4 given Q -0.24 -0.12 0.96 -4 1 -0.97 0.03 -0.24

A:

Q: Select the polynomial that has exactly three zeros O - 111 O 4x + 11x O 22 - 3x? + 2x2 2 x² 2x 8 -…

A: we know that if polynomial has n degree then there are at most solutions. here in option A…

Q: The polynomial 3x^4-2x^3+x^2-k is divisible by x+1. Find k.

A: Given:- p(x)= 3x4-2x3+x2-k, given polynomial p(x) divisible by x+1 To find:- value of k

Q: Find the coefficient of x® in (1+ x² + x4 + x®)4.

A:

Q: 1. Which polynomial has 31, -31, and 3 (with multiplicity 2) as its roots? A -3x' +9x + 27 Bx -6x'…

A:

Q: [1 1 1 -3 1 -3 -4 [1 -1 Find the QR factorization of A = 1

A:

Q: What is the complete factorization of 12r° - 3x²? H. = = = BI U S x, x² | E X2 x?

A: Answer

Q: determine the degree of the given polynomials. 5y6 + y4 - 2y2 - 8

A: The given polynomial is 5y6+y4-2y2-8

Q: Prove that 2r +1 is not a factor of 4r +r - 1.

A: We have to prove that  2x+1 is not a factor of  4x3+x-1.

Q: Do the polynomials x² + 2, 2x² – x + 1,x + 2, and x² + x + 4 span P2?

A: Solve the problem as shown below see if they are linear combination of each other and then verify,

Q: 2a] aS a product Of irreducible polynomials.

A:

Q: [1 2 2 1 Find the QR factorization of A = 1 -4 2 -4 .1 -4

A: Using Q×R=A matrix decomposition