1. Which of the following are rational expressions? Vx + 1 (b) 2x + 3 x (x2 - 1) (c) x + 3 3x (a) x² - 1

Q: 1) -V4 + vī 2) 0.03 – 2% 3) 3 0.2 10

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: What are the correct factors for 64x^3−27\ A) (4x−3)(16x^2−12x+9) b) (4x+3)(16x^2−12x+9) c)…

A: Given: 64x3-27

Q: For which n E N is the polynomial f(x) = x^(2n) + x^n + 1 divisible by g(x) = x^2 + x + 1?​

A: To find the value of n ∈ ℕ for which the polynomial f(x) = x2n + xn + 1 is divisible by g(x) = x2 +…

Q: For the function, f(x)=x^4+2x^3−9x^2−2x+8 Explain the logic behind the rational root theorem.…

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Q: 29. Evaluate the rational expression for the indicated value 5x2-6x 1) For x = -4 %3D 2х y2+1 2)…

A: Given : 1) 5x2-6x2x for x=-42) y2+1y2-1 for y=2

Q: 12 The non-permissible value(s) for the rational expressions 4 is (are) x2-4

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Q: What value/s of the variable in the denominator is/ are not allowed for the following rational…

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Q: 16. Simplify the following rational expressions: x2 + x – 12 x2 + 2x – 8 -

A: Simplify the  expression.

Q: Please answer the attached question.

A: Given:The solution set of a rational function whose domain is {x | x ≠ 5}.The solution set to…

Q: Which of the following is a rational expression

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Q: Which of the following are rational expressions?

A: Given: a) 3xx2-1 b) x+12x+3 c) xx2-1x+3 To determine: Which of the given expressions are rational…

Q: 6. Show that P(z) =r³ +x + 1 does not have any rational zeros. (Hint: What are the only…

A: Px=x3+x+1 Here the leading coefficient is 1 and constant term is 1. Now the factors of leading…

Q: For the functions f(x)=(1)/(x+2) and g(x)=(4)/(x^(2)-1), find the domain of gof

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Again, consider the rational expression from the previous problem. -+12 What are all the…

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Q: 1) What is the domain of each of these rational functions? What is the degree of each of the…

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Q: Find the domain of the following rational expression. x+9 C(x) = x -1

A: C(x)=x+9x2-1

Q: Which of the following is the most simplified, factored rational expression when is subtracted from…

A: *concept : for solving this question, we need to factorize the denominator. i.e. x^2 +9x +14 =…

Q: List all values of x for which each rational expression is undefined.

A: Given information:The given function is as shown below:

Q: Give the domain of each of the previous rational functions: x - 2 (a) f(x) x + 1 3x2 (b) g(x) : (x…

A: Given :f(x)=x-2x+1g(x)=3x2(x-1)(x-3)

Q: x² - 5x + 6 x² - 1 x² – 2r – 3 x² – 4

A:

Q: Which of the following is NOT a possible rational root of the polynomial P(x) = 5xª + 3æ³ + 4x² +…

A: Please see the explanation below

Q: When the rational function f(x) = **+3z*+2z² –14x–31 is rewritten in the form %3D f(x) = q(x) + r(z)…

A: Just I have used the Long division rule and easily find the required solution.

Q: Let f(x) = x3+ x +4 and g(x) = 2x + 3 in Z3[x]. Then, upon dividing f(x) by g(x), we get The…

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Q: 2. In the following, write the rational function as a combination of factors like those appearing in…

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Q: 8. The following rational expressions are proper fractions except: x²+2x³-3x²+x-5 3x² - 4 C.…

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Q: Let f(x) = x³ +x + 4 and g(x) = 3x + 2 in Zs[x). Then, upon dividing f(x) by g(x), we get None of…

A: Every integer polynomial we can write as an polynomial in Z5(x). Using this idea again and again we…

Q: Consider the function the following rational function 10 18 16 -8 -6 -2

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Q: x² - 1 x² – 4 x² + 5x + 6 x² + x

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Q: 8. The following rational expressions are proper fractions except: x + 2x³-3x²+x-5 3x² - 4 C.…

A: A rational expression is said to be proper fraction when the degree of the numerator is less than…

Q: 4. Match the rational expression on the left with the extraneous solution(s) on the right. 8x2+2x-16…

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Q: 2. The possible rational zeros of the function p(x)=x³+ 2x²+ 2x+ 6 are: (a) ±1#2,±3 (b) +1,+2,+6 (c)…

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Q: 8) Write an equation for the following rational function. 57 4- 3- 2- 1- ++X -2 -i 0 i 3 4 5 6 7 -4…

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Q: Match each rational expression to its equivalent. 55(x+9) 11x + 143x+ 396 20x+ 11y 1. 45x y 2..2 - 4…

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Q: Find the doma in of the rational function. 7x f(x) = %3D X - 8 O (xlx -8} O (xx 8} O exlx = 8} O…

A: Domain :- Set of all input values where function defined

Q: State the excluded values of the given rational expression: 2-z+1 22 + 4z - 5

A: We exclude the values of x at which the expression is not defined, that is at when the denominator…

Q: What is the LCD of these three rational expressions? 1 4. 3z2-6z 1 z+3 12+1-6 O r +x - 6 o (3x2 -…

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Q: What is the domain of the following rational expression (include all types of restrictions) :…

A: Given problem:-

Q: The following show the partial steps of a rational expression being simplified. A (x + 1)(B) x + 1…

A: Given query is to find find the value of A and B

Q: find n∈ℕ is the polynomial f(x)=x2n +xn+1 divisible by g(x)=x2 +x+1?​

A: Given:            f(x)=x2n+xn+1             gx=x2+x+1

Q: 4. Find the real roots of the following rational equations. x+7 X-3 %3D x-5 x+8 X-11 2х-22 618

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Q: Barry found that subtracting the two rational expressions using the least common denominator…

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Q: x - 2 2x + 6 3x + 9 2x – 4

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Q: Determine which of the following rational expressions are simplified or expressed in lowest terms.…

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Q: Reduce the following rational expression to its lowest terms. x² +6x + 8 x2 - 16

A: Factor numerator and denominator as well then simplify

Q: Find the horizontal asymptote (HA) of the following rational functions 1. g(x) = 7 5. %3D 6x-1 2. f…

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Q: 1) -VA + Vĩ 2) 0.03 – 2% 3) 3 0.2 10

A: Our Aim is to evaluate the following:-1)-4+1Answer⇒-4+1=-2+1=-12)…

Q: 9х + 18 Consider the rational function f(x) 2х — 11 a. What monomial expression best estimates t…

A: The given rational function is:fx=9x+182x-11

Q: For the function, f(x)=x^4+2x^3−9x^2−2x+8 Explain the logic behind the rational root theorem.…

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Q: Express the rational function as a sum or difference of two simpler rational expressions. 3x2 3x2 .2…

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