x4-4 Rationalize the denominator and simplify a) (x2 2) 2) b) (x22) x -2) d) (x2- 2)x-2) e) (x2-2)(x2) _

Q: conjugate of v-1-3 is 1- V-1+3 2- -V-1-3 -V-1+ 3 3 - V-1 2- 4-

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Q: The polynomial + ax 3x+ hx 2 has roots -1 and 2. one of which is a triple root. Find the values of a…

A: There are two possible case, checking one by one both to know which is the possible case as in next…

Q: fb) 2x -3 < 4x +3 < 2x+5

A: Here we have to give the answer in interval notation. b) 2x-3≤4x+3≤2x+5

Q: One of parts (a) and (b) can be integrated with the Power Rule and the other cannot. Integrate with…

A: (a) can be integrated using power rule. (b) can not be integrated using power rule because (b) has…

Q: 4+ 3 1. Express 3 -1 with a rationalized denominator.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: III. Divide by synthetic division 1. (3x3 - 17х? + 15х - 25) + (х - Б) 2. (9х3 -16х — 18х? + 32) +…

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Q: 1 2x2-76x+1443 38-x-V1-x² dx is The value of the integral [Hint: Multiply by the conjugate of the…

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Q: 6. Show that when 0</z - 11 < 2, Complex Analysis (z-1)" (2-1)(2-3)=-3 (2- #=() 2(z-1)

A: Here we prove this statement by using series expansion.

Q: 2. Express (5)"x5 as a Single power with positive t exponents.lyou must show work.)

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Q: Click and drag like terms onto each other to simplify fully. 3-6-7x+2

A: The objective of the question is simplifying the given equation .

Q: Differentiate the following by using product rule. (9x2-2)(3x+1) (3x+10)(6x2-7x)

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Q: 2. Determine one real root of 2xcos2x – (x – 2)² = 0 on the (2,3)using the Regula-Falsi Method. Do…

A: Here -(x-2)2 + 2x(cos(2x)) = 0Let  f(x) = -(x-2)2 + 2x(cos(2x))

Q: True or false: The scalar multiple -4A is obtained by multiplying each element of A by -4…

A: A quantity which have magnitude only is called scalar quantity, but the vector quantities have both…

Q: Find a polynomial of degree 5 whose zeros are -4,2,0 ( multiplicity 3) and contains the point (-2,64

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Q: Find all numbers for which the rational expresnion is undefined +10 -v- 20

A: Given: The rational expression as  y2+10y2-y-20, To find: The value of y for the given rational…

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

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Q: Justify that 12-21-3 if x + 3, f(x) = 4 I-3 if x = 3

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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: 17) Explain why these two quotients are different. Compute each one. (x – 2)* x* - 16 and X-2 x- 2

A: (a-b)2= (a-b)(a-b) and a2-b2=(a-b)(a+b)…

Q: tan X Select the rules - Alyebra -Recierocal -Quotien4 Py tuagoren ) Oda lE ver -Evaluation 58idate…

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

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Q: 1690 AC FAB-0.7809FBC 0 FCD+0.8575F, = 0 DE 0.9231F 0.3846F AC 0.6247FBC-FBD = 0 FBD-0.5145F Fr -FAB…

A: As per the question we are given 8 system of linear equations as : 0.9231b = 1690 -a - 0.3846b =…

Q: Write the domain in interval notation. 4 9) Ax)* 9) 3 -x Solve the rational equation. 1 5 10) x-4…

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Q: For Theorem 2.8 and it corollary give a simplified and short example in order to explain it very…

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Q: 1.2 8. Simplify the complex rational expression: (8 points) 3 -- X 10

A: see 2nd step.

Q: 10.16. In Zs[x], let ƒ (x) = 3xª + 3x³ + x + 1 and g(x) = 2x³ + 4x² + x + 1. Find (f (x), g(x)).

A: Solution:  Given polynomials are           f(x)= 3x4+3x3+x+1            g(x)= 2x3+4x2+x+1…

Q: 5x^2 - x - 4 Factor completely Using ax^2 +bx+c form

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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: If g(x) = f(r²), then g(-3) =

A: We find g'(x) using the chain rule

Q: 20. Describe how to add two rational expresslons that have the same denominator. Bi U Font Family -…

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Q: Exercises 114-116 will help you prepare for the material covered in the first section of the next…

A: The given function is fx=120x100-x

Q: 6. Simplify 7- V5 to its principal root and rationalize the denominator. 2+ V5

A: Given question is, 7-52+5

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: Calculate GCD(x3 + 2x2 + 3x , x2 + 3x + 2) in Z5 [x]. What is wrong with my answer? The correct…

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Q: need help on question #17 and question #19 on Section 2.4, Zeros of Polynomials.

A: Our osbjective is to find the solution of the above given questions.

Q: 4.2. Use long division to divide x + 3x2-7 by x+ 2. Express the result in quotient form. Identity…

A: we have to use long division to divide x3+3x2-7 by x+2. we have to express the result in the…

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

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

Q: When multiplied out, what are the first 4 terms of (x + 3y)'"?

A: Here we have to find the first four terms of x+3y10

Q: 4 + 1. Express with a rationalized denominator. V3 -1

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

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

Q: What are all the possible rational roots of 2x^3 + 3x^2 - 10x + 4 = 0?

A: Given: - The equation is, 2x3+3x2-10x+4=0 To find: - The rational roots of the given equation.

Q: 3. Let 7, r, and r, be the roots ofx' +3x-5x-4= 0, construct the equation whose roots are: 7(r, +r3…

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Q: Find a real root of 4*exp(-x/2)-3*In(x)-3 = 0 using False Position method with a=0.1 and b=2.0…

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Q: What are the oots of the cquaion? 15x2-2x+\=0

A: we have to find the roots of the equation: 15x2-2x+1=0

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: Find the inflection points of ƒ(x) = 4x* + 38x' – 30x² + 15. (Give your answers as a comma separated…

A: Our Aim is to find the inflection point of f(x)=4x4+38x3-30x2+15 -(i)

Q: One zero for x^2 -10x+169 =0 is x=5+12i. Find the second zero for x^2-10x +169=0

A: Given quadratic equation is,

Q: 8

A: Solve the following

Q: 6. Theorem X = 83 M (9x + 40)

A: