Evaluate the integral S/5+12x² – 4xª xdx (5+ 12x2 - 4x9) +C (2x2 - 3)W5+12x? - 4xª + 14Arcsin - 4xª) ² +C 2x2 – 3 +C V14 (2x2 - 3)/5+ 12x² – 4xª + 14Arcsin V14(2x² – 3) +C 14 (2x2 - 3)/5+ 12x? – 4xª + 14in|2x² - 3 + 2 – 4x*|} +c

Q: 3) 3x3-x2+18X-6 (3x-x3)+ (1BX-)

A: From first two terms factor out x^2 From last two terms factor out 6

Q: V45 x v32 V10 (3 + v4) (V10 + 7) (V10 – 6) (2+ 4/3) (6 – 5/2) : 12/10 : 2x V2x : 5/10 :-32 + V10 #…

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Q: Express as a polynomial.

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

Q: Write x^3+x^2-2 as a product of linear factors in Z_3

A: Step 1: Step 2: Step 3: Step 4:

Q: The product of 2x3 + 3x? + 1 and 2x2 + 4 in z3 [x]/ is: 4x+1 x^2+2 5x^2+ 5x +1 None

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Q: Use the tabular method and the example attached to calculate (2x-3)^3

A: The tabular method is a convenient tool to get the product of two polynomials. In this method, we…

Q: Find all the zeros and their multiplicities of x5 + 4x4 + 4x3 - x2 -4x + 1 over Z5.

A: Residues and zeroes of the polynomial

Q: Find the gcd of (x^4+x^3+x^2+2x+3) and (x^3+4x^2+2x+3) in Z5.

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Q: Use the substitution method to evaluate V1-22dx

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Q: ans 1. %3 4x+ 2 9x-3°

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Q: Integrate S- x?Vx?+ 16 44dx A I1/x²+ 16 +C 4 (B I1/x²+16 +C 4 I1/x²+ 16 +C 4x 11 +C 4/x²+ 16 11x +C…

A: Let I=∫44x2x2+16dxTake the constant out:  ∫a·fxdx=a·∫fxdxI=44·∫1x2x2+16dxPut x=4tanθdifferentiate…

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)…

A:

Q: (3x - 3x*) - (5 - 2x° - 2x - 2x) 4 (4x2 + 5x - 8)(7x² + 3x + 1) %3D (2x-1)(x2 - 3x + 6)

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Q: The set of polynomials {1, x² + 3x“, 2x² – 7x4} is a linearly independent set in P4.

A: NOTE: Due to time limit answer of 1 is given here, for other please ask in a different question.…

Q: 7b + 8b^2​2​​ + 3 + y + 2b + 2y + 2 =   A 17b^2​2​​ + 3y + 5 B 8b^2​2​​ + 9bb + 5y C 8b^2​2​​ +…

A: Topic = Algebra Correct option = D

Q: If P(x)=(b+1)x^(2b-2)+(b+2)x^(2b-1)+(b+3)x^(2b) it is a complete polynomial. Determine the sum of…

A: The standard form of a polynomial is P(x)=a0+a1x+a2x2+...+anxnwherea0, a1, a2, ..., an are constants…

Q: This is a set question so please answer them all (A) A rectangular floor has an area of (x^2 + 13x…

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Q: The product of two whole numbers is 234 and their sum is 31. What are the two numbers?

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Q: Find the least common multiple for 6(x+ 1)'(x-4) and 10(x+1) (x-4).

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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: Perform Crout's method on 2x₁5x₂ + x3 = 12 -X₁ + 3x₂x3 = -8 3x₁4x2 + 2x3 = 16

A:

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

A:

Q: Find the present value of amount. $10,000 if interest is 8% compounded semiannually for 6 year

A: Consider the given information as P=$10000, r=8% For semi annually n=12

Q: Find 5x + 4 Lt V2x* +1 /2>

A:

Q: What is the sum of the polynomials? (8x² - 9y² -4x] + (x²_3y² - 7x) 2-3y2-7x 8x -9y2 -4x +

A:

Q: Why the minimal polynomial x^2 - (sqrt(2)+sqrt(-2)) splits into linear factors over K?

A: Assume K is a field that includes the square roots of both 2 and -2. The formula for the element  α=…

Q: 36x³ + 27x² + 102x + 71 -dx Integrate: 9x2 + 25 + C

A:

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

A: See the detailed solution below.

Q: Min 2こ d 2 t0125 + 3 X2 X + X 2 X, i XZ

A: Min Z =   2 x1 + 3 x2 subject to   0.5 x1 + 0.25 x2 ≤ 4     x1 + 3 x2 ≥ 36     x1 +…