-7 -6 y 1 -23 -54 -954 In the 3rd order Lagrange polynomial L1=? 규지(x-5) (x + 6) A) a(x + 5)(x – 6)(x + 7) D) 1 x(x + 6)(x + 7) B) 160 금x(x-5)(x + 7) E) (x-5)(x+6)(x + 7) 210

Q: need help with 8.7.2 please

A: To show that the  two given affine cubic curves have the same projective completion

Q: 1. Consider the Lagrange coefficient polynomial L2x(x) that are used for quadratic interpolation at…

A: Note: According to Bartleby guidelines; for more than one question asked only the first one is to be…

Q: For #5

A: to obtain the expression for the polynomial (satisfying the given condiitons) in the required form

Q: Express f(x) as a product of linear and quadratic polynomials with real coefficients that are…

A:

Q: A polynomial f (x) with real coefficients and leading coefficient 1 has the given zero(s) and…

A: The given zeros of a polynomial is 2 , -2-5i

Q: 7. Form a polynomial having the given degree and zeros. (Do not multiply out). Degree 6; zeros:…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: 3. Find the fourth degree Taylor polynomial centered at C=8 for the function. f(x) =ln x In 8-x-8)…

A:

Q: Find a polynomial with integer coefficients that satisfies the given conditions. U has degree 5,…

A:

Q: A polynomial f(x) with real coefficients and leading coefficient 1 has the given zeros and degree.…

A: We know that a polynomial f(x) with real coefficients always has complex roots in pair.

Q: 15. Find a polynomial P(x) of degree < 3 for which P(1) = y2 P'(1) = y2 P(0) = y1, P'(0) = y, with…

A: cubic polynomial is of form y=ax³+bx²+cx+d

Q: a. Find the polynomial of degree 4 that has a zero of multiplicity 2 at x = 3, and zeros of…

A: Given, a. We have to find the polynomial of degree 4 that has a zero of multiplicity 2 at x = 3, and…

Q: 89. Prove that the product of two cubic polynomials is apolynomial of degree six.

A: Suppose two general cubic polynomials are px=a3x3+a2x2+a1x+a0andqx=b3x3+b2x2+b1x+b0where a3≠0, b3≠0

Q: The Legendre Polynomial has many applications, including the solution of the hydrogen atom wave…

A: Given: Let us consider the given Pnx=∑m=0M-1m2n-2m!2nm!n-m!n-2m!xn-2m where M=n2 or M=n-12

Q: 2. Determine the exact equation for the polynomial described below. Sketch and label the graph. A…

A:

Q: The L2(x) of second degree Lagrange's polynomial is (x-x,)(x- x2) (Xg = XoXXq =Xq) (X2- X0)(x2=Xq)…

A: According to question we have to calculate the second degree Lagrange's polynomial  .

Q: Find a polynomial with integer coefficients that satisfies the given conditions. U has degree 5,…

A:

Q: Find the characteristic polynomial of A. Use x for the variable in yo not need to factor your…

A: Here we have to find the characteristic polynomial of A.  A=-33-120-6180-39

Q: Zeros: - 4, - 1,3, 4; degree: 4

A:

Q: 5. True or False A polynomial function of degree n with real coefficients has exactly n complex…

A: A polynomial function of degree n with real coefficient has exactly n complex zeros. At most n of…

Q: For Attached matrix A given, the zeros in the matrix make its characteristic polynomial easy to…

A: Given: The matrix is, A=-2009420-1000-180001 To find: The general solution of x'=Ax.

Q: Consider the Taylor polynomial centered at a = 0 with n nonzero terms sin x 2 x - 3! +... 7! 5!…

A: Here we have to match the polynomial with sinx expression.

Q: 10) Find the characteristic polynomial and the minimal polynomial 4 0 0 0 4 0 0 -4 0 0 0 -4

A: Given the matrix, A=4000040000-40000-4 To find the characteristic polynomial, consider A-tI, where A…

Q: A polynomial f (x) with real coefficients and leading coefficient 1 has the given zero(s) and…

A: -1, 0, 3+i

Q: 4. Aquadric surface A. must have either x², y², or z² or a combination of those, on its general…

A: To Determinewhich of the following  is correct.A quadric surfaceA) Must have either x2, y2 or z2 or…

Q: 2 0] Find the characteristic polynomial of A =-1 0 1 0 1 1 2

A:

Q: Find a polynomial p(x) = ao + a1x + aza² + azx³ of degree < 3 (here ao, a1, a2, a3 are real numbers)…

A: In this question , use the given values and solve the equations and find the polynomial.

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

A:

Q: 1. Find a polynomial of degree 6 with real coefficients and having zerós -3, 0, 2, 5, and 1+2i.…

A: We can use the concept of roots of polynomial and congugat roots of polynomial.

Q: A newspaper vendor was observed for a few weeks. He made a profit of $3000 on Sunday, $1000 on…

A: Given, Vendor observation for a few weeks: In the first week, He made a profit of $3000 on Sunday…

Q: QUESTION 11 Express the polynomial x3 + 2x+3 EZ;[x]as a product of irreducible polynomials of Z5[x].…

A: Please note in Z5, -1=4.

Q: 1 9. 25 Let A = -9 -6 3 ㅇ If the characteristic polynomial of A is -x° + ax² + bx + c, then the…

A:

Q: n decomposition for (x+2) (x – 3) -

A:

Q: 1. Consider the Lagrange coefficient polynomial L2.x(x) that are used for quadratic interpolation at…

A:

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

A:

Q: 2-Suppose that you have n data points (x1, y1), ..., (xn, yn), with the xi all distinct. Which of…

A: Question 2 is related to Existence and Uniqueness of interpolating polynomials Question 3 is asking…

Q: -2 21 -9-21 1- FIND THE INTER POLATION POLYNOMIAL BY USING THE FOR THE ABOVE NEWTON DIVIDED…

A:

Q: 9-94. What is the equation of a third degree polynomial that has roots x = 3, 2, and – 1 and passes…

A: The detailed solution is given below Thank you

Q: 5. Find the Newton's interpolating polynomial passing through the poin (x1. yı) = (-4, 5), (x2, y2)…

A: Given that: Three points (-4,5), (-2, 3), (0, 9)

Q: 7. Sketch the graph of a polynomial function that satisfies each set of conditions. a) degree 4,…

A: The solution is given below:

Q: 4th degree polynomial function in factored form with its only zeros at (5, 0) and (-3, 0) and (-5,…

A:

Q: Formulate a 4th order interpolating polynomial that models the COVID cases in the Korea from April…

A: Lagrange's interpolation formula for n points can be defined as:…

Q: -4 -11 25 16. Without formally showing that there is a nontrivial linear combination of x-2x, x++x³…

A:

Q: 3. ( Find a polynomial g(x) of lowest degree with real coefficient and leading coefficient 1 and…

A: Given -1-i is a zero of g(x). So -1+i is also a zero of g(x). So, factors for them are:    x=-1 is…

Q: The L2(x) of second degree Lagrange's polynomial is (x- Xo)(x-x) O(X2-Xo)(X2- x) None of these (x -…

A:

Q: Which one is the highest order Lagrange polynomial of the grids below? Xị Yi -2 3 1 3 2 2x2+3x-1 a)…

A: Let (x0,y0), (x1,y1) and (x2,y2) be three given points. To find the Lagrange interpolation…

Q: 5. A third degree polynomial passes through the points (0, – 1), (1, 1), (2, 1) and (3, – 2).…

A:

Q: A (1) is a function which involves only (2) integer powers or only positive integer exponents. The…

A: Fill blank

Q: 1- Using Newton's backward difference formula, construct an interpolating polynomial of degree 3 for…

A: When the value of function at certain equally spaced points is known then the Newton's backward…

Q: For Attached matrix A given, the zeros in the matrix make its characteristic polynomial easy to…

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.