Answer the following questions about the equation below. 12x3 +53x-34x + 5 = 0 (a) List all rational roots that are possible according to the Rational Zero Theorem. O A. t1, +5 1 2 3 4 6 12 O B. 1, 2, 3, +4, 1 6, + 12, + g. t 55555 O C. 1, +2, +3, 4, 16,+ 12 5 1 1 5 1 5 1 51 5 O D. 1,5,7. 3.34466 12112 (b) Use synthetic division to test several possible rational roots in order to identify one actual root. One rational root of the given equation is (Simplify your answer.) (c) Use the root from part (b) to solve the equation. The solution set is (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any number Click to select your answer(s). Quizzes & Tests In... Take a Test CHRIS..

Q: Give the domain of the rational function. 7x+5 f(x) = x2 - 13x+36 %3D O x is all real numbers except…

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Q: Make a list of all possible rational zeros of f(x) = x° + 16x?-4x + 3. If the answer is not an…

A: f(x)=x5+16x2-4x+3 To find:Possible rational zeroes

Q: Use the rational zeros theorem to list all possible rational zeros of the following. h (x) = 4x* +…

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Q: For the function, f(x)=x^4+2x^3−9x^2−2x+8 Explain the logic behind the rational root theorem.…

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Q: When the rational function f(x) 2+3z+2 is rewritten in the form z+1 r(2) f(x) = q(x) + b(z) what is…

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Q: What are the rational roots of the polynomial P(x) = æ³ + 3a? + æ – 1? * = -1 O a = 0, a = ±1 Oæ =…

A: P(x)=x3+3x2+x-1 To find the rational roots of the polynomial To select correct option

Q: x = 141+√ 14821 230 -,x== 141-14821 230

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Q: 3. Find the real roots of the following rational equations. – 7x a. 9x + 11 -12=1 9x +11 X-1 x+2…

A: Given, (a) -7x9x+11 -12 = 1x  (b) x-1x+2 =3x+85x-1   We have to find the real roots of given…

Q: Answer the following questions about the equation below. 12x3 -67x2 + 36x - 5=0 (a) List all…

A: To find the zeros of the function

Q: 5 Calculate the roots of the following polynomial equations: (a) x³ – 6x² + 11x – 6 = 0 given x = 1…

A: Topic = Polynomials

Q: When the rational function f(x) = **+3z*+2z² –14x–31 is rewritten in the form %3D f(x) = q(x) + r(z)…

A: Just I have used the Long division rule and easily find the required solution.

Q: Use the following function to answer parts a through c. f(x) = x3 + 7x? - 79x – 85 .-.. a. List all…

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Q: Use the following function to answer parts a through c. 3 2 f(x)=x + 9x -213x-221 a. List all…

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Q: Answer the following questions about the equation below. 12x3 +53x2 - 34x + 5 = 0 (a) List all…

A: The given equation is 12x3+53x2-34x+5=0. Note that Factors of the constant term 5 are ±1,  ±5.…

Q: Given the equation x* + 4x° - 5x - 16x + 4 = 0, complete the following. a. List all possible…

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Q: Now we can finish determining det(A – A1). (Hint: To factor the cubic expression in the last step,…

A: The solution are next step

Q: Answer the following questions about the equation below. x3 - 15x - 4 = 0 .... (a) List all rational…

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Q: Use the following function to answer part a through c f(x)= x3 +5x2 - 6x - 10 a. List all the…

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Q: Show that 2x2-K =-(2k-1)00 has rationgl roots for all rational Values of 2. Determine -the vaiue (5)…

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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: P(x) = x² + 5x + 8: Find all possible rational zeros of اختراحد الخيارات 0,土1,土8 O ±1, +2, +4, ±8 O…

A: Given that the polynomial is Px=x2+5x+8. The rational root theorem states that for the polynomial of…

Q: For the function, f(x)=x^4+2x^3−9x^2−2x+8 c)  Explain the logic behind the rational root theorem.…

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Q: 1. Which of the following are rational expressions? Vx + 1 (b) 2x + 3 x (x2 - 1) (c) x + 3 3x (a) x²…

A: A rational expression is the ratio of two polynomials P(x) and Q(x), P(x)Q(x) where the denominator…

Q: List the possible rational zeros of the function using the Rational Roots Theorem. f(z) = 3x3+ 9x2+…

A: Explanation of the answer is as follows

Q: Answer the following questions about the equation below. x-34x-12= 0 (a) List all rational roots…

A: Given equation : x3-34x-12=0 To find out possible roots , take fraction factors of q by factors of p…

Q: Find the real roots of the following rational equations. - 7x 9x +11 – 12= а. b. x-1_ 3x+8 x+2 5x-1

A: We have to find the real root  of the given rational equation.

Q: Answer the following questions about the equation below. 8x3 + 50x2 - 41x +7 =0 (a) List all…

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Q: Question 5: Do the following belong on a list of possible rational zeros for the following…

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Q: What are all the possible rational roots of 2r'+3x-10r +4=0? +1, + 2, +4 only +1, ± 2, t 4, only ±늑…

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Q: Answer the following questions about the equation below. x3 - 15x - 4 = 0 (a) List all rational…

A: Rational Zero theorem

Q: Use the following function to answer parts a through c. f(x) = 5x° + 27x? + 11x +5 ..... a. List all…

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Q: When the rational function f(x) : r(z) z+3 is rewritten in the form f(x) = q(x) + %3D b(z) what is…

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Q: What function has an acutal rational zero of 7? A.) g(x)=x^3-4x^2-36x+28 B.) g(x)= x^3-4x^2-26x+35…

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Q: 4. Find the real roots of the following rational equations. x+7 X-3 %3D x-5 x+8 X-11 2х-22 618

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Q: What are all the possible rational roots of the polynomial f(x) =x* – 3x³ +x – 3? A 3, -3 B 1, -1,…

A: The polynomial function is given by fx = x4-3x3+x-3 To evaluate: The rational roots of the function.…

Q: Answer the following questions with solution. (Use 6x^3 − 5x + x^4 − 25 in answering the questions.)…

A: Let's find.

Q: Use the Rational Root Theoren to list all possible rational roots for each equation. Then find any…

A: Use the Rational Root Theoren to list all possible rational roots for each equation. Then find any…

Q: Find the set of possible rational zeros given the function. f(x) = 2x3 - 5x2 + 7x - 7 O {±1, ±2, ±7}

A: This question is related to rational theorem.

Q: 1. Frove that the rcots of 20x2+x-9=290 are rational for all rational values of a 2. Determine for…

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Q: What are the rational roots of P(æ) = x* – 2x3 + 3x2 – 4x + 2? - Ox = 1 O This polynomial has no…

A: We have to find rational roots of  P(x) I.e. solve  P(x) = 0 =>  x4 - 2x3 + 3x2 - 4x + 2 = 0 Use…

Q: 4. Find the roots of the following over C (a) x2 + 18x + 97 (b) x3 +3x2 - 6x -8 yes that is a cubic…

A: a)  x2+18x+97 Using the formula, x=-b±b2-4ac2a x=-18±324-3882x=-18±-642x=-18±i82x=-9±4i   c)…

Q: Find the real zeros (if any) of the rational function. Use enter NONE.) 10 x2 + 9 h(x) = 9 +

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Q: 11 a) Use the rational root theorem to find the possible rational roots of 12.r -8r-3T+2=0 b) List…

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Q: The following equation is given x3 -5x2 -9x + 45=0. List all rational roots that are possible…

A: The given equation is x3-5x2-9x+45=0

Q: List all the possible rational roots of x* – 2r – 6x² + 22x – 15=0. PENCIL THIN BLACK all possible…

A: Given: x4-2x3-6x2+22x-15=0

Q: Use the rational roots theorem to find the possible roots of the following polynomial equation: 21a…

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Q: The following equation is given. x - 3x2 - 25x + 75=0 a. List all rational roots that are possible…

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Q: For the function, f(x)=x^4+2x^3−9x^2−2x+8 Explain the logic behind the rational root theorem.…

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Q: Which of the following is not a possible rational root of this function:   P(x)=3x4-2x3+5x-9…

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