1. What do you call an expression in fraction form in which the numerator and the denominator are polynomials? 2. What is the value of the rational expression 2x+1 / x when x = 1 ? 3. What is the simplest form of x2+2x+1 / x2-1 ? 4. What is the simplified form of the rational expression x+5 / 5+x ?

Q: - True or False The rational expression (р. 194) 5x – 1 x³ + 1 is proper.

A: Given rational expression is  5x2-1x3+1

Q: the easiest way to simplify the complex rational expression. (6+(1/x))/(36-(1/x^2))

A: We have to factor denominator first using a^2 - b^2 = (a+b)(a-b) formula. a=6 and b=1/x

Q: Suppose multiplication over rationals was defined as follows: "For any two rationals a//b and c//d…

A: Given: The statement is, The product for any two rational a//b and c//d is given by a//b × c//d =…

Q: wants to combine the rational expressions but knows that she must find a common denominator. What…

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Q: What are the non-permissible value x in the following rational expressions 2x^2+8x x-7​ after you…

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Q: Consider the following rational expression. 3z2+16z-35/z+7 Step 2 of 2:  Determine what value(s),…

A: Given,        The rational expression : 3z2+16z-35z+7

Q: 5. Determine the least common denominator (LCD) of the rational expressions. X + 1 3x x²64 x²…

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Q: Decompose rational expression into simpler fractions

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Q: e missing numerator that will make the rational expressions equivalent. x + 2 4x2 – 3x – 1 (4x +…

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

A: Simplify the  expression.

Q: What role does factoring play in the simplifying of rational expressions?

A: to tell the role of factoring play in the simplifying of  rational expression.

Q: 4. Determine whether or not the rational expressions x + 4 2x+8 are equivalent. and (+ 2)(x- 3) 2(x…

A: Solve by common method

Q: 4. Given the work below for adding the two rational expressions, fill in the empty parentheses for…

A: The two terms are said to be added, hence, these both rational expressions are bound to have same…

Q: To simplify a rational expression, we cancel factors that are common to the and So the expression (x…

A:

Q: 1. Sophia simplified the rational algebraic expression given below. (4x+4)-4 4(x+1)-4 (5x+5)-5…

A: Given: Sophia's work on a rational algebraic expression is given below: To check: Whether Sophia…

Q: x3

A: The given function is xx3×x3x3÷x4×x56 Simplify the above function to determine the exact value of x.…

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

A:

Q: In Exercises 4-8, simplify each rational expression. If the rational expression cannot be…

A: The single rational expressions can be simplified by taking out the common factors from both…

Q: In Exercises 1-6, find all numbers that must be excluded from the domain of each rational…

A: The given expression is 7x-3

Q: Find the common denominator for the two rational expressions below: x + 4 - lx – 7 x + 3' x2 + 2x 3…

A:

Q: Reduce the given rational expression to lowest terms. x2 +2x- 15 x2 -6x +9 x2 + 2x - 15 x2 -6x+9…

A: Factories denominator and numerator.

Q: Consider the rational expression below. x2-7x+12 x2-x-12 What is the simplified expression, and what…

A: To find : (x2 -7x + 12)/(x2 - x - 12) First we factor , numerator and denominator.  And solve them ,…

Q: Reduce the given rational expression below and list any values which are excluded from the domain of…

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Q: Simplify the rational expression. 4(x² – 1) 5(x – 3)(2r + 1) 10(x – 3)2 15. 16. 12(x + 2)(x – 1) *-…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Answer two questions about the following rational expression. 3x2-18r 22 - 2x - 24 1. What is an…

A:

Q: Describe and correct the error below when finding the product of the two rational expressions. 22-25…

A: Only cancel out the common factors if need some simplification do and than cancel out common factor.

Q: What is 2.554 as a rational

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Q: For any two rationals a//b and c//d where a, b, c, d not equal to 0 ∈ Z, the product is given by…

A: The given statement is " For any two rational a//b and c//d where a, b, c, d not equal to 0 ∈ Z, the…

Q: Let x be the number with the decimal expression 0.a1 a2 a3 a4 . . ., where an is the remainder of n…

A:

Q: 1. How do differentiate rational algebraic expression from not rational algebraic expression? 2.…

A: 1. How do differentiate rational algebraic expression from not rational algebraic expression? 2.…

Q: To simplify a rational expression, we cancel factors that arecommon to the and . So the expression

A: 2) Given: The expression x+1x+2x+3x+2. Any rational expression in the form fxgx can be simplified…

Q: Larry found that combining the two rational expressions using the least common denominator provided…

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Q: Explain why the quotient has 4 points of discontinuity. 2+2z-3 12+4r+3 O A There are 4 parts of the…

A:

Q: Show and explain all of the steps used in order to simplify the following rational expression x+2 to…

A: topic - rational expression

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

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Is the set of rational expressions closed under subtraction? Explain p(x) r(x) %3D (x)b s(x) II

A: Topic = Polynomials

Q: Reduce the given rational expression below and list any values which are excluded from the domain of…

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

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Q: When sutracting rational expressions, parentheses are important to make sure that you subtract the…

A: Given: 10xx-9-2x+7x-9 To find:  a. Filling in parentheses. b. Removing the parentheses. c. combining…

Q: What are the ways to find the LCD, of these following two rational expressions? 4 (numerator) over…

A: Given fractions:

Q: Reduce the given rational expression below and list any values which are excluded from the domain of…

A: The given expression,     9x2-32x-65x2-25

Q: 2. Adding rational expressions 2 a) x+3 x-1 + x+1 b) x+5 7x+10 x+5

A:

Q: 9. When a rational algebraic expression is subtracted from the result is メーS ー-10 What is the other…

A: Given expression are 3/(x-5) and (-x-10)/(x2-5x)

Q: A complex rational expression is given below. x2 + 4x +3 2x2 +x-15 2x² –x-3 4x2 – 25 Simplify and…

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Q: State the excluded values of the given rational expression: 12 4x+1 2.

A: Given rational expression is:

Q: How do you find the excluded values with rational expressions?

A: Need to find How we find the excluded values with rational expressions

Q: 8 is subtracted from 2²+x-6 x2+9x+14 Which of the following is the most simplified, factored…

A: 1. To evaluate: x2+x−6x2+9x+14-8x+7 Factorizing and simplifying the denominator of first fraction we…

Q: Identify the rational expression that is equivalent to Select one: O a. 6x+4x² 3x² - 12x O b. 3x+2 1…

A: Here we have to find the equivalent expression

Q: Find the difference. 1 2r-1 2z-1

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Q: Reduce the given rational expression to lowest terms. x + 5x -24 3-x x +5x-24 %3D 3-x (Simplify your…

A: