According to the second translation theorem, how do we find the indicated missing factor? d{(zt-7)QLt-3)} = e* ? O L{t – 7} O L{t - 3} O L{2t – 7} O L{2t – 1}

Q: Q1-Using the nodes (x, =2, x-=2.5 and x; =4), to find the second interpolation polynomial for flx) =

A: Given nodes are x0=2, x1=2.5, x2=4 and function is f(x)=1x Now table is x 2 2.5 4 f(x) 0.5 0.4…

Q: Find the 3rd degree interpolating polynomial by Newton's backward formula X f(X) Af(X;) A²f(X;)…

A:

Q: Q4 (a): if a=6, b=12, show that AxH=G (b): find the value of k if the product of the root of (2k-1)x…

A: Here in this question a=6,b=12 is given  A=Arithmetic mean which is equal to =a+b2 H=Harmonic mean…

Q: Also, our definition of the first 4 Legendre polynomials is: 1 Po(x) V2 P1 (x) = V5/2 (1 – 312)…

A:

Q: . Factor x12 -1 as a product of irreducible polynomials over Z.

A: Given: x12-1. We have to factor x12-1 as a product of irreducible polynomials over Z.

Q: | Using the rational root theorem for the polynominl 5z–2²+2-12, what are the values of esting?

A: The given polynomial is p(x)=5x3-2x2+x-12

Q: Consider the data (1,10), (3,6)(1,10), (3,6). Then, Newton's polynomial that interpolates the data…

A: Solution of given problem is followed by Newton's interpolation formula.

Q: (d) Compute P(x 2 2).

A: Given that  X~Poisson(μ=6) Probability mass function of X is  f(x)=μxe-μ/x!  , x=0,1,2,3,____

Q: Find the coefficient of x3y2z3w in the expansion of(2x + 3y − 4z + w)9.

A: The given expansion is 2x+3y-4z+w9. We have to find the coefficient of x3y2z3w.

Q: Use an appropriate Chebyshev polynomial to economise f(x) = x³ + 2x² – 5 once

A: In this question, we need to economize the polynomial by using appropriate Chebyshev Polynomial the…

Q: j) x(x+2)+

A:

Q: Test the polynomial x – 2x3 + 6x – 3 for irreducibility over Q.

A: We have to check whether the polynomial x4-2x3+6x-3 is irreducible over the set of rational numbers…

Q: [(3x2 – 2x + 3) dx - (A) x - x² + C (B) 3x - x2 + 3x + C (C) x - x + 3x + C (D) (3 - 2x + 3)? + C…

A:

Q: Which polynomial has the zeros 1, –1, & -4? O y = (x+1)(x – 1)(x+ 4) O y = (x+1)x –1)(x – 4) o y…

A:

Q: Factor completely. qs - 8s + qf - 8f qs - 8s + qf - 8f =

A: We have to complete factor

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: 4. which polynomial is accurate x = [2; 2.75; 4]; y = [0.5; 1/2.75; 0.25]] 0.0455 x² 0.1039x² -…

A:

Q: Indicate the least integer n for which (3x6 + 2x2)(x3 + 3x) is O(xn).

A: Solution:-

Q: ndicate the least integer n for which (3x5 + x2)4 is O(xn).

A: Solved using the binomial theorem

Q: Select all the expressions that are equivalent to (3z + 2) (1 – 4) for all real values of x. A; 3z²…

A: We have to select the expressions that are equivalent to given function. This problem can be done…

Q: > For y, polynomial x = y₁ 1 D²-2 [x²] y, = [-1-D² +...]. [2x+3]

A:

Q: . Factorize the expression (5 - i)z2 - (3 - 2i)z + e2pie(i)

A:

Q: 2. Which polynomial equation has 1, -2, and 3 as roots? A. P(x) = (x + 1) (x – 2) (x + 3) B. P(x) =…

A: Here in the given question we are provided with roots as 1, -2 and 3. And we are asked to find…

Q: The binomial X+ 4 is a factor of which polynomial? O A. x2 + 2x- 24 O B. x3 –10x? +33x-36 OCX3- 2x?…

A: The binomial x+4 is a factor of a polynomial if P-4=0 Option A: x2+2x-24…

Q: 5. (x5 + 25x3 -7x2 +37x 18) + (*+5) %3D II. A. Use the REMAINDER THEOREM to find the remainder of…

A: We have to solve

Q: expression for the area of the triangle shown

A:

Q: expand and simplify the following polynomial: 2 (7 – 4a) a (2a – 4) (5a + 1) 40a + 390a? + 180a O…

A: 2(7-4a)a(2a-4)(5a+1) = (14- 8a)a{ 10a2 + 2a - 20a -4}  = (14a- 8a2)( 10a2 -18 a - 4)  ={ 140a3…

Q: Factor out the greatest common factor. 18a b°c- 48a b*c² + 60a°c 7 4 2 3

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: What is the constant term of the polynomial 5xº - 4x® + 2x5 + x³ + x? D. 0 A. 5 В. 8 С. 1

A:

Q: Q// Fit a second-order polynomial to the following data: Y 9 8 3 7 9 11 9 6 1 7 1 3 10 9. 1 a. y =…

A: Given x y 9 8 0 3 7 9 11 9 6 1 0 0 0 7 1 3 8 10 9 1