4. Determine whether or not the rational expressions x + 4 2x+8 are equivalent. and (+ 2)(x- 3) 2(x +2)(x-3) Justify your response. (Note: x -2, and x # 3) A I+ 4 2x+8 and (- 2)(z- 3) 2(x +2)(x-3)

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

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

Q: Simplify by dividing the two rational expressions 2x2-5x-3 4x-1 Simplify X -16 2x +7x-4 Select one:…

A: We will simplify each of the fraction and then divide them.

Q: Which rational expression is undefined when x = 0? 5x2-4 3x-3 6x? 9x-3 8x +6 -x² + 1 4x-8

A: Given the rational expressions

Q: For Exercises 7-12, list the possible rational zeros. (See Example 1) 8. g(x) = x' - 5x? + 2r – 9…

A: Since you have posted multiple sub questions. So we will solve first three parts for you. If you…

Q: Determine the non-permissible for the rational expression A) 16x^3 / 2x+12 B) 3x^2+2x / x^2 - 6x C)…

A: Non-permissible value for a rational function is a value of variable which makes denominator equal…

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: synthetic division to find the result when 3x^{4}-25x^{2}-8x+63x4−25x2−8x+6 is divided by x-3x−3. If…

A: Given query is to perform synthetic division.

Q: Consider the following rational expressions. 3 2b b2 + 4b + 4 b- 6b- 16 (a) Find the LCD. (b+2)²(b –…

A:

Q: What is the remainder when f(x) = - 3x17 + x9 - x5 + 2x is divided by x + 1?

A:

Q: 1. When the polynomial f(x)= px' +5x +qx-2 where p and q are constants is divided by 2x +3x-2 the…

A:

Q: For Exercises 15–16, find all the rational zeros. 15. p(x) = 2x – x - 5x + 2x + 2 16. q(x) = x* + x'…

A: we will use the Rational Roots Test  The Rational Root theorem states that if a polynomial zeroes…

Q: Consider the rational function 3x4 + 8x + 19 f(x) 8x2 – 13 a. What monomial expression best…

A:

Q: -Divide the following rational expression. x² - 8x + 15 x² - 3x- 10 x² +3x-4 x2 +6x +8

A: First we need to factories numerator and denominator by middle/AC method

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

A:

Q: 13. When fully simplified, the rational expression 15v 60 becomes vー4 vー4 А. -15, v # 4 B. 15, v 4…

A:

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

A:

Q: For Exercises 15-16, find all the rational zeros. 15. p(x) 2r - - 5x + 2x + 2 16. q(x) = x* + - 7 -…

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

Q: 7. What is the constant term of the polynomial expression: x* – 2x + x² – 5x + 6? А. 1 8. Express:…

A: Let's find.

Q: Consider the rational function f(x)=5x4+9x+198x2−15. What monomial expression best estimates the…

A: The rational function is given by

Q: 7. How will you check if your solution is correct? a by eliminating the rational expressions b. by…

A:

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: Find all the numbers that must be excluded from the domain of each rationalexpression:a. 4/x - 2…

A: Given: a. 4/(x - 2)     b. x/(x2 - 1)     c. 9x/(x2 + 3x - 18)

Q: We first clear fractions before applying the rational zero theorem. 3 4 9. X 5 17 2 + 5x + 1 -X 4 4…

A: Here as the coefficients are non integers so we can not apply rational zero theorem directly so for…

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

A:

Q: Describe and correct the error in simplifying the rational expression or in stating the excluded…

A:

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

A:

Q: John found that combining the two rational expressions provided him with the necessary information…

A: Topic = Algebra

Q: Erik is building a cubby bookshelf, that is, a book shelf divided into storage holes (cubbies)…

A: Given data÷ height of the bookshelf = x2-11x-12 width  of the bookshelf =  x2+3x+2            height…

Q: x² - 1 x² – 4 x² + 5x + 6 x² + x

A:

Q: 10. Divide the foilowing rational expressions and write your answer in lowest terms: 2x+12 x²+9x+18…

A: Solved below

Q: Find the domain of the rational expression below. x2 +14 over (x-5)(x+1)

A:

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: 15–24 ■ Simplify Simplify the rational expression.

A: To: Simplify the given rational expressions.

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…

A:

Q: John found that combining the two rational expressions provided him with the necessary information…

A:

Q: 2 3. Rationalize the denominator of What do you observe about the result V5 – 1 obtained from…

A:

Q: x² - 25 x² + 10x + 25 2x – 2 x² + 4x – 5

A: To find the restricted values of a rational expression: Set the denominator equal to zero Solve the…

Q: x - 2 2x + 6 3x + 9 2x – 4

A:

Q: Divide the rational expressions: 8x 4x2 x2 -5x + 4 x - 1 16x O (x-1)-(x-4) O 1 2 x2-4x

A: Division of rational expression

Q: 7.2a | Add and subtract rational expressions with a common denomina Simplify: x - 3x 28 x -7x x- 7x…

A: The expression to be simplified is x2-3xx2-7x-28x2-7x

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

A:

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: 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: 1. What do you call an expression in fraction form in which the numerator and the denominator are…

A:

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

A: