Prove that the expression 2y2 - 128 is equal to 2(x2 + 2) (x² – 2) (x³ + 4x* + 16)

Q: 2. Max tries to simplify the expression (5x+2)(x+3)-(2x– 3)(x+3) as follows: = (5x+2)(x+3)-(2x–…

A: Given data is : Max tries to simplify the expression 5x+2x+3-2x-3x+3 Expression after simplification…

Q: How do I complete the square on thsi following polynomial: x2-6x+12-y=0 To end up with:…

A: x2-6x+12-y=0 cannot be expressed as (x-3)2+4-y=0 because (x-3)2+4-y=0 when expanded will give…

Q: is a solution of 2x-6x2+7x-33D0. 2 Prove that x 1-

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Q: )х, х(0) 5 8 -1 -2 X(0) = X' = %3D X(t) = || %3D

A: To find: The value of x(t) Given information: x'=8-156xand the initial condition is x(0)=-26.…

Q: If x1=-1, X2=1, Xn=3X(n-1)-2X(n-2), Vn23. Find the general term Xn

A: The given recurrence relation is

Q: For А - 2аx + Зау + az and В %3 5аx - 2ау - az OAB is:

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Q: Show that x19 + x8+ 1 has multiple zeros in some extension of Z3.

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Q: Prove that there exists at least one solution to the equation 4x+ 3x +1 = 4x2.

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Q: ,2 Evaluate x-6x +3 for x= 3+ i

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Q: In(x-1) 33 Differentiate with respect to x. 2x + 3

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Q: ) Express 8-x over Q[x] and over F2[x] as a product of irreducible ynomials.

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Q: 18x- 2(3x + 1) = 5x – 16; Prove: x = -2 %3D

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Q: What are the steps to prove 4(x-3/2)^2 = (2x-3)^2

A: Given: 4x-322=2x-32 We have to prove left hand side of equation is equal to the right hand side of…

Q: A polynomial is given below. 3x° + 2x – x +7 | Which statement must be true about this polynomial?…

A: The degree of the polynomial is 6.  For a polynomial the maximum number of roots are equal to the…

Q: Explain why 3-1 does not exist in Z24.

A: Proposition: If is element in a ring then cannot be both zero divisor and unit. Given:

Q: Example 4. Differentiate with respect to 'x': 2 - 3x + 4 - X + x + 2

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Q: Find the x3 term in (x-1) (2x-2)4   4=n, 5 terms

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Q: Prove x²(x-y)² =x² -y²

A: Substitute x=y in the given equation Then x2(x-y)2=0 ....... (1) and x2-y2=0 ....... (2)

Q: verify that 6A = 3(2A)

A: Here given  Thus

Q: find the value of x in (1/(3x+1))+(1/(x+1))=(1/(3x+1)(x+1))

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Q: Show that x + 5[x²] is 0(x²).

A: This is a problem of complexity.

Q: prove using the IVT. 2x + 3x = 4x has a solution.

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Q: Does (Z11 , + , .) have subfields? In this case which subfields.

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Q: Prove that the expression 2y2 - 128 is equal to 2(x2+2) (x² – 2) (x³ + 4x* + 16).

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Q: Determine whether yy00 ory-y – ∞ as x-7-a∞ Ond x-7∞, 2 =x=-4x²-4x-8

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Q: Express as a polynomial. (2u +3)(u - 4) ( 4u+u ) 2

A: Given: y=22u+3u-44u+u For expressing given expression as a polynomial, we simplify given expression…

Q: Prove that if 8x-5=-2x-15 then -x=1

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Q: (a) Show that (x2 + v2x + 1)(x² – v2x + 1) = x* + 1.

A: Given that: (x2+2x+1)(x2-2x+1)   NOTE: As per our answering guidelines, we can only answer 1…

Q: Prove that x -2x+2>0 for value of x.

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Q: Show that (z3 z4) -1 = (z3-1. z4-1)

A: We prove the given statement by taking Z3=x3+iy3, and Z4=x4+iy4. After using the fact of…

Q: Use Cramer's Rule to solve for x2. xi + 2x2 +x3 = 2 3x1 – x2 - 2x3 = 7 X2 +x3 = -1

A: Here we have given one matrix and we have to find the value of x2 by using the Cremer’s rule.   Now…

Q: Express as a polynomial. (3u - 1)(u + 2) + 7u(u + 1)

A: Given expression: 3u-1u+2+7uu+1

Q: (2) Determine k such kx² – 4x +- = 0 that has real and different solutions.

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

Q: Find a real root of 3*exp(-x/2)+4*In(x)-2 = 0 using False Position method with a=0.5 and b=2.0…

A: Given:            3*exp(-x/2)+4*ln(x)-2=0           3·e-x2+4lnx-2=0     By using False position…

Q: x2 = 2 In(x +2) %3D

A: The false position method (also known as Regula-Falsi method) uses the formula:…

Q: Verify that Jp+1(x) + 2/½(x) –- Jp-1(x) = 0

A: Verify that, Jp+1x+2Jp'x-Jp-1x=0 The Bessel's function Jpx is defined as follows, Jpx=∑n=0∞ -1n…

Q: what is the multiplicity of -1 in x^4-2x^3-3x^2+4x+4

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Q: verify that 5A = 3A + 2A

A: Given that A=341127. Compute 3A+2A as follows.

Q: is a factor of 2 + 5z2 – 5x +1. - O I+1 O 2z +1 O +2 O 2x -1

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Q: (2) Determinek such kx - 4x+- =0 that has real and different solutions.

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Q: 10. Determine the upper bound on the error in the approximation = x - 16x5 + 256x° if |x| < 0.2…

A: We need to find upper bound on the error.

Q: Show that x^2 + 1/x^2 is greater than or equal to 2.

A: A.M  is greater than or equal to G.M

Q: If z1=1-i,z2=-2+4i.Evaluate |2z2-3z1|²_

A: We need to evaluate |2z2-3z1|2

Q: 1. Evaluate 61-x) (17-8x-4x )(e +1) -1)

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result  =…

Q: Use generating functions to determine the number of integer solutions for x + y + 2z = 29, x2-2, y >…

A: Given that x+y+2z=29 As for each x,y,z are non negative. The variable for x is, The variable for y…

Q: Find 2 for all of: 1- y = xvInx 2- y = 3 x(x-2) x²+1

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Q: 1. Show that x + 4 is a factor of x* – x3 + 3x² – 3x + 356. -

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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.