The product of 2x³ + 3x² + 1 and 2x² + 4 in z5[x]/< x³ +1 > is: 5x^2+ 5x +1 4x+1 O x^2+2 None

Q: -1 X+1

A: ∫x6-1x2+1dx=∫x6x2+1dx-∫1x2+1dx=x55-x33+x-arctanx-arctanxAdd a constant to the…

Q: The expansion of (1 - x)® = A 1+4x - 7x² + . B 1- 4x + 7x2 - C 1+ 4x - 7x2 + Đ 1- 4x + 7x² – 23.

A: Please see the explanation below

Q: a. x − 1 _ x² + 2x − 3 x2 x+2

A:

Q: 2X 2x 1+4e* + 4e4x

A: We have to find solution of given integral.

Q: Express as a polynomial.

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

Q: 2. If the result of a polynomial division is 2x – 4x? – 5x + x+2 23 ,make at least three definitive…

A: Consider the given: If the result of the polynomial division is-2x3−4x2−5x+23x+2It means , The…

Q: Create a cubic expression that when divided by (x-1) will have a remainder of 6

A:

Q: IsP2 spanned by 1 + x, x + x2,1 + x2?

A: To Show: Is P2 spanned by 1+x,  x+x2, 1+x2 ? Concept: Let V be a vector space and let S=v1, v2, v3,…

Q: rivial of

A: To find the non trivial of Z8 as,

Q: I-11 Evaluate the following integral dr. (z² + 9)(z + 2) Maximum number of characters (including…

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Q: The polynomial x(x^2-4)(x^2+4) has___ real roots.

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Q: Expand (x+2)(x+5)

A: This expansion can be done using distributive property. According to this property multiply of sum…

Q: If fx)x3x+1 then fx) (In x]3x (3x+1}x3x (2x+ In xr3x+ 1 3x13r 3 Inx 3x+13 In x

A: Note:Hi there! Thank you for posting the question. The first line in the image is not very clear.…

Q: Expand (* + 2)x-2)- (x-2) O a x - 4 O b x -x- 6 x - 2x - 4x+ 8 x -x- 2 x - x O c e

A: The given function is x+2x-2-x-2.

Q: Write out the first three terms in the expansion of (x + y)^20

A:

Q: If (2x-1) is a factor of the polynomial p(x)=2x^3-3x^2+kx+6, then the value of k is: a) k= -6 b)…

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Q: Divide x+2 x²+3x-10 x²-2x-8 x+3

A: We know that the divided can change multiplication then numerator and denominator are change…

Q: Write g(x) = x² + x³ + 2x²+x+2 as a product of irreducible polynomials over 2.₂. за

A: Write as a product of irreducible polynomials over .

Q: Еxercise 13 Determine how тany times 0 арpears in thе тultiplicatioп table for Z16-

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Q: In the polynomial x^6 − 3x^5 − 5x^4 + 22x^3 − 39x^2 − 39x + 135, it is known that 1 + 2i and √3 are…

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Q: Indicate if polynonial, Binomi al or trimonial: Solve: 1. (x²+x-2)(3x²-8x-7) 2. Subtract 3(x²+1)²…

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Q: Q5//Find the general solution of the second order non homogenous differential equation (use method…

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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: Find the coefficent of x^6 in the following: (1 + 2x + 4x^2 + 8x^3 + ...)(3x^2 + 3x^4 + 3x^6 +…

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Q: The number of zeros of the polynomial x^2 +4x+1 in Z6 is:

A: See the detailed solution below.

Q: Factor each polynomial completely.

A: Since you have posted multiple problems ,we solve the first three problems for you .To get the…

Q: 35. How many times is 2 a root of x6 - 9x4 + 24x² - 16 = 0?

A: Given equation x6-9x4+24x2-16=0

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.