Q: Express the rational function as a sum or difference of two simpler rational expressions. &- IXx² +…
A: Proceed as shown
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: What is the remainder when f(x) = - 3x17 + x9 - x5 + 2x is divided by x + 1?
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Q: Can you please answer number 9 a and b and show all of the steps
A: The functions are given by,
Q: Part 5: Subtract the rational ex x²-4 5x +10 14. x-4 X-4
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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: Choose the list that contains all of the possible rational solutions of x-x3 -3x2 - 8x + 20 = 0. A.…
A: Constant term in the given equation x4-x3-3x2-8x+20=0 is ao=20 Positive and negative factors of…
Q: For Exercises 54–60, a. List all possible rational roots or rational zeros. b. Use Descartes's Rule…
A: Note: Since you have posted multiple questions we will solve only the first question for you and…
Q: For Exercises 5-7, simplify the expression. Do not rationalize the denominator. 2r(2r – 7)/2 – x( (2…
A: Since you have posted multiple problems ,we solve only the first one .To get the remaining problems…
Q: What is the domain of the rational function f(x) =4x2-5x/5x-15
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Q: A student is working on the rational equation + = 7, æ # –1.After multiplying both sides of this…
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Q: Again, consider the rational expression from the previous problem. -+12 What are all the…
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Q: For Exercises 69–84, find the zeros and their multiplicities. Consider using Descartes' rule of…
A: To find the zeros and multiplicities:69. f(x)=8x3-42x2+33x+28Clearly from the Descarte's Rule of…
Q: 9. When the polynomial mx' – 3x² + nx +4 is divided by x - 3, the remainder is 16. When it is…
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Q: True or False The rational expression (2x3 - 4x ) / ( x - 2) is reduced to lowest terms.
A: Given: The rational expression 2x3-4xx-2. The given expression can be simplified as,…
Q: (4x2-3х+6) dx х*(х-2)
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Q: S x² - 2x² + 3x² -x +3 "x²³ - 2x² + 3 +3
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Q: What is the difference between a rational function anda polynomial function?
A: A rational function be of the form f(x)=p(x)q(x), with q(x)≠0. And the denominator function must…
Q: For Exercises 43-46, use the remainder theorem to evaluate the polynomial for the given values of x.…
A: 43). Given fx=2x4+x3-49x2+79x+15 To evaluate: (a). f-1 (b). f3 (c). f4 Solution: Remainder…
Q: Express the rational function as a sum or difference of two simpler rational expressions. 6x4 + x3 +…
A: We have to express the given rational function as a sum or difference of two simpler rational…
Q: 7. How will you check if your solution is correct? a by eliminating the rational expressions b. by…
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Q: What is the remainder when f(x)= - 3x17 + x9 - x5 + 2x is divided by x + 1?
A: f(x)=-3x17+x9-x5+2x is divided by x+1
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: Find the domain of the rational function. 2x2 - 4 f(x) = 3x2 + 6x - 45 %3D
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Q: John found that combining the two rational expressions provided him with the necessary information…
A: Topic = Algebra
Q: State the domain of the rational function. 7x-6 f(x) = 4x +S OA (-*, *) O B. (-*, 2) U (2, ) Oc (…
A: Domain is defined as the set of values of x for which the function is defined.
Q: 5) If the leading term of a polynomial is -2x18, what do you know about the end behavior? As x → 0…
A: We will find the end behavior of the polynomial when Leading term is given.
Q: For Exercises 23–28, write the answer as a single term and simplify. It is not necessary to…
A: " Since the question with multiple subparts is asked we will solve the first three subparts for you.…
Q: expression
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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: Express the rational function as a sum or difference of two simpler rational expressions. x²–4 1/2…
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Q: For Exercises 21-22, use the remainder theorem to evaluate the polynomial for the given values of x.…
A: Consider the given polynomial fx=3x4+2x2-4x+1 Remainder theorem: Suppose the fx polynomial is…
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: :the possible rational zer 6. 3 m (x)= 4x ° – 5x'+6x If there is more than one Select "None" if…
A: The given polynomial is, mx=4x6-5x3+6x-10 Since all the coefficients are integers, we can apply the…
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: Find the domain of the rational function f(x) =5x/(x - 4).
A: Consider the provided function, fx=5xx-4 Find the domain of the rational function. The domain of the…
Q: Find the domain of the rational function: f(x) =7x/(x - 8)
A: Given, fx=7xx-8
Q: 十 Use the graph of the rational function shown to complete the statement. 4) 6. -10 -8 -6 -4 -2 2 4…
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Q: John found that combining the two rational expressions provided him with the necessary information…
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Q: Is f(x) =x−3/x + 1 a rational equation? Prove the answer with a solution if possible.
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Q: What is meant by a proper rational expression?
A: A rational expression is proper if the degree of the numerator is less than the degree of the…
Q: 1. Create two different rational polynomial expressions with the following constraints: • one…
A: An expression is undefined when x=4 is given by px=1xx2-16 An expression is undefined when x=-2 or…
Q: In Exercises 20–21, solve each rational equation. 11 20. x + 4 + 2 x2 – 16 - x + 1 21. x? + 2x – 3 1…
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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: Write the improper rational function as the sum of a polynomial function and a proper rational…
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Q: 3 What is the end behavior of this polynomial function f(x) = – 4x* + 9x' – 5x +x – 7? a. Falls to…
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Q: Why is the rational expression (x + 3)/(x2 - 4) undefined for x = 2 and x = -2 but defined for x =…
A: Why is the rational expression (x + 3)/(x2 - 4) undefined for x = 2 and x = -2 but defined for x =…
Q: 12. Find all the rational zeros for the function. f(x) = 5x³ – 16x² – 47x + 10 - -10 -2 1/2
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- For f(x)=x3+x2-8x-12 find the rational zeros and then the other zeros; that is solve f(x)=0. Then factor f(x) into linear factors. Please explain because I'm not sure how to do this qFor the rational function f(x)=5−xx2+5x+6, solve f(x)=3. x=? or x=? there should be 2 answers :)Differentiate the rational function y=3x2+1x−1.