S. Which polynomials gives a quotlent of (3x + 2x+ 4) and a remalinder of 19 when divided by (2x-3)7 A. 6x -Sx+2x B. 6x - Sx+ 4x+7 C. 6x - 5x + 2x+7 D. 6x + 5x' + 2x +7

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

A:

Q: Q2/ Fit a second - order polynomial to the data in the following table: X 5 1 4 Y 2 3 4 -1 4 76 O 00…

A: When a equation has one degree then it is known as linear equation. If the equation has two degree…

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

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: Which of the following polynomials is exactly divisible by (2x- 1)? A. 2. - 5x+2 C. 42 - 16 B. 22 +…

A: The objective is to find the polynomial that is divisible by (2x-1).

Q: What is the value of k so that the polynomial P \ left (x \ right) = x ^ 5−23x ^ 4 + \ left (2k − 3…

A: Given : P(x)=x5−23x4+(2k−3)x3−17x2−54x+40 Q(x)=x-2 Remainder theorem states that x -a is the divisor…

Q: 7. Add or subtract the following polynomials: a. 2x2 + 3y3 - 4x2 = b. y3 + 2y3 - 8 + 2 = c. 10 -…

A: Given that   Add or subtract the following polynomials: a. 2x2 + 3y3 - 4x2

Q: Add the polynomials. (5x^4+7x^3+2x^2+25x-9) + (6x^4-9x^3+8x^2-17x+5)

A: We need to add the following polynomial 5x4+7x3+2x2+25x-9 + 6x4-9x3+8x2-17x+5

Q: Which of the following polynomials is exactly divisible by (3x+1)? A. 6x2+17x+5 B. 9x2+6x+1 C.…

A: We have to check which of the given polynomials is exactly divisible by 3x+1. Factor theorem states…

Q: Which of the following polynomials has a remainder of 1 when divided by x + 2, x + 3 and x + 5? x³ +…

A: We have to find the polynomial

Q: Which of the following polynomials is a difference of​ squares? A.49x^2+64 B.7x^2-8…

A:

Q: 6) Divide the following polynomials a) (2x³ – 3x² + 4x + 5) ÷ (x + 2) b) (16x3 – 12x² + 20x – 3) ÷…

A:

Q: 5. Find Q where Q is from the QR factorization of -5 -1 9 3 2 -9 -6- 3

A:

Q: Find the polynomials connecting the points (0,1), (1,3), and (2,13) ​​by quadratic interpolation.

A:

Q: C. Divide the following polynomials using synthetic division. 7. x2-5x +4; x- 1 8. x- 6x - 4; x +2…

A:

Q: Show that if p is a positive integer, then the binomialseries for f(x) = (1 + x) p is a polynomial.

A: The binomial expansion is given as 1+xn=1+nC1x+nC2x2+nC3x3+.....nCnxn

Q: Which of the following polynomial expressions factors into (3x + 3)(3x + 8)? O 9x? - 30x - 24 O 9x2…

A: We can find the answer as below.

Q: Write the following polynomial as a preduct of ivreducibles in Q [x], R[x] and C[x] x+*+ 5x-22

A:

Q: Each of the following polynomials is written with its monomials ordered according to exactly one of…

A:

Q: Which of the following is the correct complete factorization of x4 - 1?…

A: Here we have to factorized,  =x4-1

Q: Which of the following is the correct complete factorization of x4 - 1? (x-1)^{2}(x+1)^{2}

A: Given, x4-1

Q: -Divide the following polynomials using either long division or snythetic division. Show your…

A:

Q: Which of the following polynomials will fill in the blank to make the equation true? 2 (3x - 7x + 2)…

A: The given polynomials,3x2-7x+2+_______=2x2-10x+3

Q: A local city wants to compare the number of those with a car and those without a car, represented by…

A: Given,          A local city wants to compare the number of those with a car and those without a…

Q: Which of the following polynomial expressions factors to x'(4x - 7)(4x + 7)? O 16x6 – 49x O 16x° +…

A:

Q: Which polynomial correctly combines the like terms and expresses the given polynomial in standard…

A: Given: The polynomial expression is 8mn5-2m6+5m2n4-m3n3+n6-4m6+9m2n4-mn5-4m3n3.

Q: 1. Which of these polynomials could have (x - 2) as a factor? Select all that apply. *

A: We have to find which polynomial has a factor (x-2).

Q: Use long division to divide the following polynomials: (3ct + a3-#+1) 은 (22-2x + 1) O 3a2-5x +12 +…

A: Answer

Q: 2. Simplify the following polynomials: a) (x²-3x² + 5x-9) + (4x³ - 5x² - 8x +11) b) (3xyz - 4x² + 8)…

A: For solving this kind of problem we need to add same power of terms and simplify the equation.

Q: Find the factors of the following polynomials. 9. x? – 4 10. x2 + 4x-5 11. 3x + 6x² + 5x + 10

A: It is reuquired to find the factors of the given polynomials.

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: Which of the following are terms in the sum of the given polynomials? 3x2,-2x2y, 2xy2, 4y2, xy2,…

A:

Q: Add or subtract the following polynomials. (3a + a) + (5 - 2a) + (5a°) O 2a - a+ 20 O 3a - a + 10 O…

A: Add or subtract given polynomial

Q: Which of the following polynomials is the correct simplified form of 10y3-2y3-16y2+8y2?

A: From the given problem:   10y3-2y3-16y2+8y2   Now simplifying the given polynomials:…

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: If In(9) = 2.1972 and In(10)=2.3025, using Langrange polynomial, find In(9.6) and the error. %3D

A: According to our company guideline we can only answer first question if multiple question is posted…

Q: Given (xi , xi2022 i ) ∀i = 0, ..., n, where x0 = −1, x1 = 0, x2 = 1, x3 = 2, ..., xn = n − 1. Write…

A: Given xi,xi2022∀i=0,1,2,...,n  Where x0=-1, x1=0, x2=1, x3=2,..., xn=n-1

Q: Q3: Find the following (if possible) • All possible polynomials in GF(4²) 3x 17 ++ 5xmod 241 = 17 5…

A: GF42=GF(16) is called the Galois Field with 16 elements.  Galois Field: A finite field or a Galois…

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

A:

Q: If In(9) = 2.1972 and In(10)=2.3025, using Langrange polynomial, find In(9.6) and the error.

A:

Q: Which of the following polynomials is reducible over Q: x3 +2 x4 + 3 x5 + 1 x2 + 3 I thought it…

A:

Q: Mrs. Allard asked her students to identify which of the polynomials below are in standard form and…

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: A third degree polynomial passes through the points (0,-3),(,0),(2,9), (3,30), (4,69) and (5, 132),…

A: Using Newton's forward difference method:f(x) = f(x0) + (r)∆y + (r)r-12!∆2y +  (r)r-1(r-2)3!∆3y…

Q: Which of the following is the correct factorization of 27x3 - 1? O (3x - 1)(3x² + x + 1) O (3x +…

A:

Q: Which polynomial is the greatest common divisor of X5 + 2X4 – X – 2 and X4 +2X³ + X + 2 in Q[X]?…

A:

Q: 8. Complete the following table by stating whether the polynomial is a monomial, binomial or…

A: Given

Q: 4. Which of the following describes the end behavior of the polynomial y = –x³ + x? %3D as z -oo, y…

A: Here  function is given and we have to find the end behavior of function

Q: Which polynomial is prime? O x + 3x2 + 2x + 6 O x + 3x2 - 2x-6 O 10x -4x + 3x + 6 O 10x2- 10x- 10x +…

A: Definition used -   Prime polynomial -  The polynomial that can not be factored in any way is…

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

A: