A rational expression is an expression that can be written as a ratio of two polynomials. Which of the following is NOT an example of rational expression 1 a. (3x2)

Q: Factor the polynomial comp 10 x2 +2x-120 Ox-12)(x+ 10) DA 0x+12)(x - 10)

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Q: Simpliry the rational expression. 3x? - 8x - 3 9x + 3x2 + 3x + 1 3x2 - 8x - 3 9x + 3x + 3x+ 1

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Q: The polynomial p (x) = -2x° + 3x +4 is given. Which conclusion is valid if p (1) = 5? %3D O A. (x-…

A: Given, P(x)=-2x3+3x+4 And   P(1)=5

Q: Given a polynomial f (x), the quotient f(x) has a remainder of 40. What is the value of f (7)? x-7

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Q: 5x2 6x + 30 Use synthetic division to simplify x - 5 where q(x) is a polynomial, r is an integer,…

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Q: x²+8x 16 12-x- x² 12.) x² – 2x-24 13.) x2 - 8x+15 II

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Q: r(x) where d(x) is the denominator of the original d(x) Use polynomial long division to rewrite the…

A: Solve the following

Q: Find the quotient and the remainder by synthetic division of the polynomial P(x) for the given…

A: The solution using synthetic division method is given below.

Q: Find the value of k for which x - 7 is a factor of f (x) = x3 - 6x2 + kx – 7. State the remainder…

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Q: Find the LCD of the rational expressions. 6 15 x+7'x-7 The LCD is (Type your answer in factored…

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Q: x+4 2 X -16 4. 2 x- 5x+6 x+3 5. Compare and contrast division of integers to division of rational…

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Q: 4x' + 2x2 - - 35x - 15 Use synthetic division to simplify X + 3 Write your answer in the form g(x) +…

A: I am attaching image so that you understand each and every step.

Q: Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x) and…

A: find long division below

Q: You divide the polynomial f(x) by (x − 8) and obtain a remainder of 5. What is f(8)?f(8) =

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Q: True or False: The degree of the following polynomial is 7: &x+&g. O True O False

A: Degree of polynomial with two variable It is the maximum degree of the degrees of the terms with…

Q: 1. True or False The quotient of two polynomial expressions is a rational expression. (pr

A: Given the statement the quotient of two polynomial expression is a rational expression is true or…

Q: Use synthetic division to find the quotient and the remainder. (x²-1)+(x-1) The quotient is Q(x) =…

A: By using synthetic division to find the quotient and the remainder.x4-1÷x-1

Q: Solve the rational polynomial shown below: 4 x-4 4-x x -16 Find the value of x that makes the…

A: Given: 5x-4+64-x=4x2-16 For finding solution of given equation, we simplify it by taking L.C.M.

Q: 1. Perform polynomial division for the following rational function. Write the answer as a 2x4 + 9…

A: Given,           2x4+9x4+x2

Q: Find the LCD of the rational expressions. 9. 17 x+8'x-8 The LCD is (Type your answer in factored…

A: The LCD is given as follows:

Q: = x° + ax? – 3x + b when divided by g1(x) = x – 2 gives a remainder of 6 and f() is divisible i…

A: Given,      f(x)=x3+ax2-3x+b     g1(x)=x-2     g2(x)=x+1

Q: x+ 3 9. The volume of a rectangular garden shed is given by the expression x+ x-6x. The length of…

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Q: Find the roots of the factored polynomial. (x - 1)(x - 3)(x – 6) Write your answer as a list of…

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Q: Gvan a polynomial fx), if (x + 5) is a factor, what else must be true? O (0) - 5 O (0)=-5 O (5)-0…

A: Polynomial

Q: Find the LCD of the rational expressions. 7h 7 h? - k? ' h2 - 2hk + k2 The LCD is (Type your answer…

A: LCD stands for least common divisor. And applicable only for fractions.

Q: A polynomial f(x) = x + ax? -3x+b when divided by g1 (x) = x – 2 gives a remainder of 6 and f(x) is…

A: It is given that f(x)=x3+ax3-3x+b when divided by g1(x)=(x-2) and g2(x)=(x+1) leaves the remainder 6…

Q: P(x) = 2x3 + bx² + cx – 3 For the polynomial P(x) given above, b and c are both real numbers. Which…

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Q: (a). What is the condition for a linear expression to be a factor of a polynomial (that is, how do…

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Q: 2. Find the quotient and remainder of the following functions by long division. Write the answers in…

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Q: You might need: Calculator P(x) is a polynomial. P(1) divided by (z- 8) has a remainder of 5. P(r)…

A: P(5) = 3 &, P(- 8) = 0   The detailed solution is as follows below:

Q: A. Write T if the statement is True and write F if the statement is False. 1. One possible integer…

A: We are authorized to answer three subparts at a time, since you a have not mentioned which part you…

Q: 3. Write a polynomial that has a greatest common factor of 6z2. 4. For the following rational…

A: We have to find the value for which expression doesn't exist

Q: A cubic polynomial, k(r) = + br² + cr - 4, has a remainder of –2 when divided by r - 1 and a…

A: Given:- A cubic polynomial, k(r) = x3 + bx2 + cx-4, has a remainder of -2 when divided by x-1 and a…

Q: 3x - 20x+ 30 3. For the rational expression do the following. x-4 (a) Write this ratio in the form…

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Q: Use long division to find the quotient q(x) and remainder r(x) when the polynomial f(x) is divided…

A: We solve the problem by long division method.

Q: Find all values of the variable a for which the rational expression is undefined. Separate multiple…

A: The given function is: f(x)=x+8(x-6)(x-1)

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

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Q: 2x4-x3-7x2+7x-13/ x-2 using synthetic division, solve the problem. write your answer in the…

A: We can divide it using synthetic division as below

Q: Find all values of the variable x for which the rational expression is undefined. Separate multiplve…

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Q: Determine all possible rational solutions of the polynomial equation. x³-9x² +5x-6=0 The list of all…

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Q: See photo...

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Q: A polynomial division is performed and the result is given as: (2) 1+ (x) y (x) 6 = (x) A The…

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Q: The model represents a polynomial and its factors. 188 +x²-x-x-x +X I Mark this and return +X -X + +…

A: Here, from the polynomial model, we can say that the polynomial has one x2, 4 times -x and 3 times…

Q: (x) = x4 − 2x2 − 24 (a) Write the polynomial as the product of factors that are irreducible over the…

A: The given polynomial is  f(x)=x4-2x2-24

Q: Find all values of the variable xx for which the rational expression is undefined. 4x + 11/x2− 3x +…

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Q: Find all values of the variable x for which the rational expression is undefined. 4x + 11 x2 - 3x +…

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Q: 3. What is the degree of the polynomial? * 6x +2-7x* +x' - x O 1 4 O 10 2. O O O

A: Highest power of variable x in polynomial is called degree of polynomial

Q: 5. When the polynomial 3x + ax? +bx-9 is divided by x-2 the remainder is – 5. When it is divided by…

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Q: f(x)=2x4 - x3 - 3x2 + 7x - 12   p(x)=x2 - 3 "Find the quotient and remainder of f(x)/p(x)"

A: From the given information