1- Write the expression x* +x³ + 3x² – 3x – 4 in the of Legendre polynomials

Q: 2x² + 8x - 4- 16 2x + 1

A:

Q: Use long division or synthetic division to divide the following polynomials: 2x³ + x² - 2x +1+x+2

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Q: Which of the following factors produce the following polynomial expression: x+ 5x +4x-47 I. (x + 2)…

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Q: Derive these Legendre polynomials: P3(x) = x³ - (3/5)x P4(x) = x² - (6/7)x² + (3/35) P5(x) = x5 -…

A: Given:The Legendre polynomials:Aim:To derive the Legendre polynomial.Concept Used:Power rule of…

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

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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: 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: Add the following polynomials. 4x - 5x +4 2 -8x +4x -1 4x -5x +4 .2 + - 8x +4x - 1

A: It just like a simple addition. Just add the constants then the coefficients of x and then the…

Q: Use long division or synthetic division to divide the following polynomials: 3x³ + x²-3x+1+x+3

A: Step 2 complete solution

Q: Describe each polynomial. „(a)..x...6x. 36 of degree binomial (b) –15s“t + s³3 monomial v of degree…

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Q: True or False: The degree of the following polynomial is 7: &x+&g. O True O False

A: Degree of polynomial with two variable It is the maximum degree of the degrees of the terms with…

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: Determine whether the polynomial 8+ 6x – 3x² belongs to Span{2+x – a², 1- 1, 4r²} or not.

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Q: Divide the following polynomials k- 4k* - 3k - 5k + 6k – 3

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

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

A: Answer

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: Subtract the polynomials. (10z + 4x + 9x) (72 + 8a – 10)

A: Perform subtraction

Q: Questlon Multiply. (5+x)(5 - x) = %3D

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Q: 10. Determine whether the following polynomials span P2. P, =1+x, P, =1-x, P, = 1+x+x, P, = 2-x

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Q: When the following polynomial is written in standard form, identify each characteristic of the…

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Q: b. Find a QR-factorisation of 1 -1 1 1 1 1 -1 0 |

A: Step:-1 Given matrix  is  110-1010111-10 Let  A= 110-1010111-10 Now, we'll apply Gram-Schmidt…

Q: D: x2 - x + 1

A: Which type of polynomial

Q: Write x3 + 3x² + 3x + 4 in Zs[x] as a product of irreducible polynomials.

A:

Q: Find (−?^5 + 7?^3 − ?) ÷ (?^3 −?^2 + 1) Write the polynomial in the form of P(x) = d(x)q(x) + r(x)

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Q: What MATLAB command will find the roots of the polynomial p(x)=x^4-8x^2-4x+3? a. None of…

A: To find the correct answer

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

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Polynomials

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