EXAMPLE 3 Multiplying Rational Expressions x² + 2x 3 3x + 12 Perform the indicated multiplication and simplify: x² + 8x + 16 x - 1 SOLUTION We first footo

Q: 1 The rational expression can still be decomposed. (9x2 + 16)? A FALSE B) TRUE

A: The rarational expression in implicit form therefore cannot be decomposed

Q: 11-33. Simplify the rational expressions below as much as possible. (x-4)'(2x-1) (2x- 1Xx-4)…

A: a. Given expression, = x-432x-12x-1x-42= x-43x-42                          [2x-1 cancel from…

Q: Part 2: Multiply the rational expression x2-16 2x+10 5. X+5 x +9x+18 2-x 6. x-4 4-x2 x + 6x

A:

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

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Q: + 22x + x - 12 Use synthetic division to simplify x + 1 Write your answer in the form q(x) + where…

A: Solution:

Q: Find the least common denominator of rational expressions Find the least common denominator:…

A: We have to find lcd

Q: - 6 Rationalize the denominator: 6 – V5 - A where В The result can be expressed in the form A = B =

A:

Q: Decompose rational expression into simpler fractions

A:

Q: EXAMPLE 8 Simplifying a Compound Fraction (1 + x³)/2 – x²(1 + x²)-1/2 Simplify: 1 + x?

A: Given that, the compound fraction (1+x2)12-x2(1+x2)-121+x2 To simplify the fraction

Q: True or False The polynomial x2 + 4 is prime.

A: Anwer:False.

Q: 7. Simplify the following rational expression. Show all your work for factoring! 5х-20 2x2-Зх-20…

A: Using factorization method

Q: 11-17(c-d). Multiply or divide each expression below. For each rational expression, you can assume…

A: (c) We have to divide the following expression -  5x-153x2+10x-8 ÷ x2+x-123x2-8x+4First we will…

Q: EXAMPLE 2 Multiplying Polynomials Multiply and simplify. (dz + 2(* - 6a +) fr +

A: Given: Let p=4x+2x2-6x+12 To Find: To multiply and simplify the given expression

Q: I am not sure how to work through this problem to get the correct answer.

A: Given fraction is,

Q: 5 Q. Rationalize the denominator of (J2–3)

A: As per the guidelines I can solve only first question

Q: Find the quotient and the remainder when the first polynomial is divided by the second. (a). x3 +…

A:

Q: Divide using synthetic division. (2x - 12x- ) + (6 + x) 6x +x (2x - 12x-6x° +x*) + (6 +*) = 6 +x…

A: Given expression for which synthetic division is to be used is : ( 2x2 - 12x - 6x3 + x4 ) ÷ ( 6 + x…

Q: EXAMPLE 5 Subtracting Rational Expressions Subtract the rational expressions and simplify the…

A: We have to subtract the rational expressions: 3x+5x2+4x+3-x-5x2+2x-3 Factorizing the denominator by…

Q: QUESTION 1 Simplify the rational expression. Find all numbers that must be excluded from the domain…

A: Given the expression 4-xx-4. The objective is to find all numbers that must be excluded from the…

Q: 11-31. Apply the procedures your team developed for adding fractions to add these rational…

A: First take the LCM as the common denominator for both fractions.

Q: 1 The rational expression can still be decomposed. (9x² + 16)? (A) TRUE B) FALSE

A: The term in the denominator (9x2+16)2 can not be factorized further because it will be of the form…

Q: 1. Find the quotient using long division. Express the quotient as a rational expression. x+7)x…

A:

Q: 1. [K5] Use long division to divide 4x* – 2x² - 1 by x – 1. Then write the associated division…

A:

Q: 3V5+3V3 Express in the simplest form, with rationalized denominator 3V5-3/3

A:

Q: Algebra 1 B.7 Evaluate variable expresslons Involving rational numbers Evaluate the expression for c…

A: Solve the given expression with value of c

Q: Simplify the complex fraction. 6 x-2 x-2 x- x-2

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: 6. Use the model question: Express the reciprocal of 2-5 in simplest radical form with a rational…

A:

Q: 15–24 ■ Simplify Simplify the rational expression.

A: To: Simplify the given rational expressions.

Q: 4+3i Rationalize 2-i

A:

Q: -7 Rationalize the denominator: 6 + V3 A where B The result can be expressed in the form A = B = %3D

A:

Q: Can you help me step by step?

A: Given,

Q: I am unsure of how to work out this problem.

A: Given:

Q: Multiply Rational Numbers Practice 7. (-2.655) (18.44) 8. -1. 64 type type 9. -2-(-13) 10. -3 (-s)…

A: Simplification s

Q: Use any method to simplify the.complex fraction. k+4 12k 5k - 2 6k

A:

Q: Divide using synthetic division.   x2−7x−7x3+x4÷(7+x) x2−7x−7x3+x4÷(7+x)=nothing+7+x ​(Simplify your…

A: To: Divide using synthetic division. x2-7x-7x3+x4÷(7+x)

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

A:

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: All changes saved Find the quotient using synthetic division. Express the quotient as a rational…

A:

Q: EXAMPLE 3 Dividing Rational Expressions 3 + 6x + 12 7-1-6 Divide.

A:

Q: Multiply the polynomials (x-1)(x* + x+x² + x + 1) using a table. Generalize the pattern that emerges…

A:

Q: Rewrite with rational exponents: a. V64 (V2ry)". b.

A: The nth root radical has the equivalent forms xn=x1/n. Another property of radicals that will be…

Q: 9/x-5 - 3/x2-25 What is the least common denominator?    4/x2+5x+6 - 2/x2-9 What is the least…

A: Given  9x-5-3x2-25 Here denominators are (x-5) and (x2-25) Since a2-b2=(a-b)(a+b) We can write…

Q: (x^4-13x-42)/(x^2-x-6) Conplete answer with long division

A: I have used the long decision rule and find the solution.Final solution is in the box.

Q: x² – 16 3. Rationalize the denominator and simplify completely: Væ – 2

A: Given, To Simplify x2-16x-2

Q: A rational expression is an expression that can be written as a ratio of two polynomials. Which of…

A:

Q: 2 Rewrite and x2 - 16 expressions with the lowest common denominator. x2 - x- 12 as equivalent…

A:

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

A: The give expression is,

Q: (a) Divide r – xª + 3x3 + 2x2 and remainder r(x). Verify that the quotient times x – x? + 1 plus the…

A: Introduction: A polynomial is a very important real-valued function. The degree of a polynomial is…

Q: EXAMPLE 5 Adding and Subtracting Rational Expressions Perform the indicated operations and simplify.…

A: We have to simplify the given expressions   the expressions are a) 3x-1+xx+2b)1x2-1-2(x+1)2