Find all the rătional zeros. 13) f(x)=x* + 8x + 4 9x +16x +14

Q: 1. Explain why both f(x)= x³+ 1 and g(x) tions. x3+1 are rational func-

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Q: Express the rational function as a sum or difference of two simpler rational expressions. Hint: Use…

A: Given that                         3x2x2+1 We can write the given rational expression in the form…

Q: 2. Find algebraically the zeros for 3 p(x) = x +x – 4x - 4

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Q: 12) List the potential rational zeros of the polynomial function. Do not find the zeros. f (x) =…

A: Since given function is f(x) = -3x2-2x+8 Constant term =8 leading coefficient(coefficient of x2) =-3…

Q: b 20. for f(x)=x³+4x²-3x-6 U find all possible rational zeros, and then test until you find one that…

A: This question can be solved using the concept of factor theorem.

Q: 4х — 5 8. Consider the rational function defined by y = 2(х + 1)?(х — 3)" Make a table of values to…

A: The solution is given as follows

Q: List all possible rational zeroes given by the Rational Zeroes Theorem 1. P(x)=x3- 4x2 +  17 2.…

A: To list all possible rational zeroes given by the Rational Zeroes Theorem1 Px=x3-4x2+17 2…

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: 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: 3. For y = f(x) = x* – 4x³ – 31x? + 46x +168 : a. List all possible rational zeros of f.

A: y=f(x)=x4-4x3-31x2+46x+168 a)  find all possible rational zeros of f  Rational root theorem :  If…

Q: Solve the rational equation. 6) 6 + 5 = 13 7) 12 24 x-1 X+5 8) 3. x+4 X+12 x²+5x+4 %3D x+1 2.

A: To solve the equations

Q: -10x? – 6x – 146 бх — Consider the rational function f(x) (x2 + 49) (x + 1) Select the decomposition…

A: Please see the answer below

Q: question 5

A: The lead term of this polynomial is -x^7. So, f(x) will behave as -x^7 does on the ends.

Q: 4. Determine whether or not the rational expressions x + 4 2x+8 are equivalent. and (+ 2)(x- 3) 2(x…

A: Solve by common 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: 7. The graph of f (x) = 3x – x? – 10x + 8 has a zero at x = -2. Use synthetic division and factoring…

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Q: Determine the factored form: x + 3x? - 4 with potential rational zeros of: -4, -2, -1, 1, 2, 4…

A: Factor x^3+3x^2−4 x^3+3x^2−4 =(x−1)(x^2+4x+4) = (x−1)(x+2)(x+2)

Q: Find all the rational zeros of the function. f(x) %3D х3 — 13х - 12

A: We have to find all the rational zeros of the function f(x)=x3-13x-12.

Q: 11. Determine the number of possible positive and negative real zeros for f(x) = -6x' – 4x + 2x* –…

A: Solution:Given    f(x)=-6x7-4x5+2x4-3x2+1To find the number of possible positive and negative real…

Q: 2. In the following, write the rational function as a combination of factors like those appearing in…

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Q: Use a direct proof: If x and y are rational, then 3x+2y is also rational.

A: In this question, concept of Direct proof is applied. Direct Proof A direct proof is a series of…

Q: Find all rational zeros. f(x) 4x-12x-x+3

A: Given : fx = 4x3 - 12x2 - x + 3

Q: 3x²³-2x² + 3kx + 18 by x- 6 to be equal to zero, k must be equal to.

A: Use division

Q: 2. The possible rational zeros of the function p(x)=x³+ 2x²+ 2x+ 6 are: (a) ±1#2,±3 (b) +1,+2,+6 (c)…

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Q: 13. List all possible rational zeros given by the Rational Zeros Theorem for P(x) = 2r +&r+Ilr-14

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Q: 3. Find all the zeros for: f(x) = x3 - 2x2 - 5x + 6

A: Given that, y = x3 - 2x2 -5x + 6 and we have to calculate the zeros of the function. We know that,…

Q: nd all rational zeros of the polynomial f (x) = x* – 2x3 – 24x² + 50x – 25 %3D

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Q: OFind a root of an equation f(x)=2x-2x-5 using Newtor aphson Method

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Q: 12) List the potential rational zeros of the polynomial function. Do not find the zeros. f(x) = -2x2…

A: To find: All the potential zeroes of the polynomial function.

Q: 12. The second-degree Maclaurin polynomial for f(x)=vx+9 is 3+ x² If this 6 108 polynomial is used…

A: The Maclaurin polynomial for f(x)=x+9is 3+x6-x2108 To approximate 8, substitute -1 for x in the…

Q: 3 When x³-x+4 is divided by a polynomial f(x), the quotient and the remainder are +2x+3 and 10…

A: Topic:- algebra

Q: 1. Use the Intermediate Value Theorem to show f(x)= 2x +6x² – 3 has a zero between a = -3 and b =…

A: I am attaching image so that you understand each and every step.

Q: 4x' –11x°+x³ –8x+11 r (x) = and provide an estimate of the order of accuracy. 3x5+x2 – 1

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Q: 3. Find algebraically the zeros for f (x) = x - 4x 9x + 36x %3D

A: Given function

Q: What is the LCD of these three rational expressions? 1 4. 3z2-6z 1 z+3 12+1-6 O r +x - 6 o (3x2 -…

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Q: Evaluate the rational expresslon for the glven x-value. Express the answer as a fraction in simplest…

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Q: find n∈ℕ is the polynomial f(x)=x2n +xn+1 divisible by g(x)=x2 +x+1?​

A: Given:            f(x)=x2n+xn+1             gx=x2+x+1

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: 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: 9. List the Possible Rational Zeros of the function. DO NOT SOLVE! f(x) = 3x3 – 19x2 + 51x + 21

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Q: 2. If the result of a polynomial division is 2x – 4x? – 5x +z. make at least three definitive…

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

Q: the c Give all possible rational zeros for the polynomial. 14) f(x) = 2x3 + 5x2 + 6x - 8 your %3D…

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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: 9х + 18 Consider the rational function f(x) 2х — 11 a. What monomial expression best estimates t…

A: The given rational function is:fx=9x+182x-11

Q: 22. Use the Rational Zero Theorem to help you solve the polynomial equation 2x17x³ +46x²-43x + 12 =…

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Q: Find all the rational zeros. 5) f(x)= 4x4 + 9x3 - 34x2 - 25x -4 %3D

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Q: How can all real zeroes be found for g(t) = t^5 - 4t^3 + 4t?

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