Use the following function to answer parts a through c. f(x) = 5x° + 27x? + 11x +5 ..... a. List all rational zeros that are possible according to the Rational Zero Theorem. (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) b. Use synthetic division to test several possible rational zeros in order to identify one actual zero. One rational zero of the given function is - 5 (Simplify your answer.) c. Use the zero from part (b) to find all real zeros of the polynomial function. The real zeros of the function are (Simplify your answer. Use a comma to separate answers as needed. Type an integer or decimal rounded to three decimal places as needed.)

Q: 1. Determine which of the following numbers is a “0” for the function f(x)= x^5+x^3+x^2+1 1+2i i -1…

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

A: Using division of polynomial.

Q: Use the following function to answer parts a through c. f(x) = 2x° + 6x² + 5x+ 2 a. List all…

A: given functionfx=2x3+6x2+5x+2

Q: List all the possible rational zeros, then find all the zeros of the functions. 7. f(x) = x3 + 2x² –…

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

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Q: State the possible rational zeros for the function. S(x) = x² + 9x- 12

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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: List all possible rational zeros, find all rational zeros, and factor f(x). 3 f(x) =x-3x-33x+35 13…

A: Given: fx=x3-3x2-33x+35

Q: 5. Given the following polynomial: x* - x3 + 2x? – 4x – 8 = 0 Use The Rational Root Theorem to find…

A: Since you have posted multiple questions we solve first question for you  To get the solution of…

Q: Consider the following polynomial. s(x) = x* - 5x3 + 5x? + 5x – 6 Step 1 of 2: Use the Rational Zero…

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Q: Use the Remainder Theorem and synthetic division to find each function value. Verify your answers…

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Q: Given the function f(x) = 5x2 – 7x + 6. Calculate the following values using synthetic division and…

A: Topic = Functions  As per guidelines, At a time only three sub-parts of a question can be answered.…

Q: Which of the following is NOT a possible rational root of the polynomial P(x) = 5xª + 3æ³ + 4x² +…

A: Please see the explanation below

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: Find the cubic polynomial which takes the following values : x: 1 3. f (x): 1 1 10 Hence or…

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Q: Given the following information, use synthetic division to find all roots of f and describe the…

A: f ( x ) = 2 x 3 + 21 x 2 + 49 x − 30This is a degree three polynomial, hence there will be three…

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: For y = f(x) = x* +2x3 - 25x? – 26x +120 : List all possible rational zeros of f. 1. a. Ans la b.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: SI Uon The following function is given. f(x) = x3 - 3x2 - 4x + 12 %3D a. List all ratiorial zeros…

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Q: When the rational function f(x) 3-13x+9 is rewritten in the form %3D a+4 f(#) = q(x) + r(z) , what…

A: Given query is to find the value of indicated function.

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

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Q: Which of the following numbers is not a potential rational zero of the polynomial function -p(x) =…

A: The given question is solved below.

Q: How many potential rational zeros does the following function have? P(x) = x+ + x3 + 38x – 40 %3D

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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: Find all rational zeros of the function f (x) = 9x ^4 −9x ^3 −58x ^2 +4x +24

A: Consider the provided function.

Q: V5 is rational ylgn ihi

A: √5 is rational

Q: If f(x) is a polynomial of the first degree and a is not equal to B, show that f(x)= f(B)(x-a) -…

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Q: Find all zeros of the function: f(x)=8x^3+22 x^2−9x−9, First, list all the possible rational…

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Q: Given f(x) = 2x3 - 4x + 42. Find a rational zeros of f(x)

A: Given problem :-  f(x) = 2x3 - 4x + 42.   Find a rational zeros of f(x)

Q: For the cubic polynomial function f(x) = : ax³ + bx² + cx + d, find a, b, c, and d so that 0 is a…

A: Solution :fx=ax3+bx2+cx+d f0=2  givend=2   ... 1critical number :f'x=0f'x=3ax2+2bx+c3ax2+2bx+c=0c=0…

Q: Consider the following rational function f(x) = 3x^2 + 2x − 1/4x^2 − 8x (a) Find all the zeros of…

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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: List all possible rational zeros for the function. f(x) = 3x3 + 4x2 − 11x + 7

A: To determine all the possible zeros of the polynomial.

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: State the possible rational zeros for each function 1.) f (x) = 3x2 + 2x – 1 2.) f (x) = x6 – 64…

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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: If f (x) = by a + 1? 5x° + 2x + 2, then what is the remainder when f(x) is divided %3D

A: Will use remainder theorem to find the remainder

Q: Is the function in f(x)=(9√x+11)/(9x+11) a rational function? If so, write it in the form p(x)/q(x),…

A: Given function is,

Q: Consider the rational function f(x) 7x %3D 4 - a. On your own, complete the following table of…

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Q: Find the set of possible rational zeros given the function. f(x) = 2x + 9x2 + 12x-8 %3D

A: Explanation of the solution is given below..

Q: Use the Rational Roots Theorem (p's and q's) to list all the possible rational zeros of the…

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Q: find all the rational zeros of the function   f(x)=x^3-7x^2+36 f(x)=x^4+8x^3+8x^2-72x-153

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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: Given the function f(x) = 8x? Calculate the following values using synthetic 4x + 4. - division and…

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Q: f(x) is a rational function given in both standard and factored forms.

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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: evaluate using long division first to write f (x) as the sum of a polynomial and a proper rational…

A: Given: An integral

Q: Given the function f(x) = 5x? – 7x + 6. Calculate the following values using synthetic division and…

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