Find the general polynomial output is a linear transformation with T ¹8- T -1 = in terms of a, b, c, anc 1 1] 1 -2x² + 4x-8, and T = [88] 3x² - 6x +8, T = 2x² - 4x + 6.

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: Express as a polynomial.

A: Here given as 4z4-3z2+1-zz3+4z2-4

Q: For

A:

Q: e down a polynomial of degree exactly 4 that interpolates the four points: (-1,-5 1), (2, 1), (3,…

A: We have to find the polynomial equation from given points.

Q: Explain the other notation which is commonly used for ak in the Newton form of the interpolating…

A: The Newton interpolation polynomial are calculated as: \

Q: Q2/ Fit a second - order polynomial to the data in the following table: 5 1 4 7 Y 2 8 3 4 -1 4 6 00

A:

Q: ● Find the best fit equation for the second-degree polynomial of the form y = ao + a₁x + a₂x² given…

A: We need to fit the polynomial y=a0+a1x+a2x2 for the data x y 1 -9 3 3 4 16 5 29 7 70…

Q: Evaluate the following polynomials? 1.P(2)=x³–3x²–x+2 2.P(3)=2x³+2x²–4x+1 3.P(-2)=x³–8x²–2x+5

A: As per the policy we are solving first three subparts.   Please repost and specify which subparts…

Q: Find values of a, b, and c such that the graph of the polynomial p (x) = ax2 + bx + c passes through…

A: We have to solve the value of a, b and c.

Q: l6x-5 x²2x-1o 1Əx²-x-6 ax-9 3x+4 12x2-29x+15

A:

Q: 2[6a-2a(3a+3b)+6a2]

A: The given expression is

Q: 5 A clerk sold three pieces of one type of ribbon to different customers. One piece was 3 yards…

A:

Q: Convert the following polynomials to factorial polynomials 1. x³ + 8x² - 4x - 1 2. 2x45x³ + 2x² - 4x…

A: The given polynomials are: 1. x3+8x2-4x-1 2. 2x4-5x3+2x2-4x+9 3. x4+2x3+x2-6x-4 We have to convert…

Q: 21. Write the expression (x + 6)(x – 4) as a polynomial in standard form. A. x - 10x + 2 B. x + 10x…

A: To write the expression as a polynomial in standard form.

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: Which polynomial is equal to (x + 1) divided by (x + 1)? А - х3 — х2 -х+1 В — х3 + х2 — х + 1 B x*.…

A: WE HAVE TO FIND ANSWER

Q: USE SYNTHETIC DIVISION 16 x4 17 x2 2x - 6 ÷ x – 2 -

A: Solving the problem by finding the results.

Q: # 2: Add or subtract the following polynomials. Write your answer standard form. 1) (6x+7)+(3x+8) 2)…

A:

Q: 3. Write down the polynomial having coordinates in B and the one with the same coordinates in B'.

A:

Q: Multiply the polynomials (x-1)(x* +x³ + down an identity for (x - 1)(x" +x"-1 +..+x² +x + 1) for n a…

A: Multiply the given polynomials using table (x-1)(x4+x3+x2+x+1)   x4 x3 x2 x 1 x x5 x4 x3 x2 x…

Q: 4. Write the polynomial in standard form. * 4g – g° + 3g² – 2 -2 +4g + 3g – g g - 3g +4g - 2 O A -g…

A: Standard Form of Polynomial states that the polynomials needs to be written with the exponents in…

Q: 1. Determine whether the set S = {2x² – 14x + 34, 3x – 4, x² + 5x + 1} is linearly independent or…

A: Here first we check the set s is linearly dependent or not.

Q: (5x3 + 3х - 8) + (х - 1) (x + 5x + 2x2 +7x+30) (x + 2) (2x³- 54) + (x – 3) 1. 2. 3.

A: Use synthetic division for the following polynomial. 1.(5x3 + 3x -8) /(x-1) 2.(x4 +5x3 +2x2 +7x +30)…

Q: 18. Which polynomial function has zeros -2, ½, 2, 1? * О А. у3 2x4 -Зх3- 7x2 +12х - 4 В. у %3D2х3 -…

A:

Q: Write a function for the blue graph of a quadratic function in a form: f(x) = a ( b (x + c))² + d…

A: The given parent graph is shown by red and transformed graph shown by blue in the question.

Q: Solve the polynomials 3y-{[-4(x-y)+(2x - y)]-3x -[(5y-3(x-2y)]-2(-6x + y)}

A: Given polynomial,  3y-{[-4(x-y)+(2x - y)]-3x -[(5y-3(x-2y)]-2(-6x + y)}

Q: A boy has a collection of 20 pennies, 8 nickels, 10 dimes and 15 quarters. How many coins must the…

A: ANSWER :