For y = f(x) = x* +2x3 - 25x? – 26x +120 : List all possible rational zeros of f. 1. a. Ans la b. Use synthetic division to write f in completely factored form. Ans 1b f(x) =, C. List the actual zeros of f. Ans 1c

Q: Given two polynomial functions f(æ) = x° + 2a² – 28x – 35 - and g(x) = x – 5 use synthetic division…

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Q: Evaluate at the given value using synthetic division. f (x) = x + 8x2 + 15x +3 at x = -3 f(-3)

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Q: If x4 −2x3 −12x2 +10x+ 3 = 0 has the roots 1 and −3,

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Q: Find all rational zeros of: f(x) = 2r – 113 + 14x² – 11x + 12.

A: f(x)=2x4-11x3+14x2-11x+12

Q: Use synthetic division and the remainder theorem to find the indicated function value. f(x) = 4x° -…

A: The function is given by fx = 4x3-10x2+7x-5 To evaluate : The value of f1 using Synthetic division…

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: When the rational function f(x) = *-x°–6x*+12x-31 js rewritten in the form a+3 r(z) f(x) = q(x) + ,…

A: Topic = Algebra

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: The graph of f(x) = 6x – 19x? + 16x – 4 is shown in the figure. f(x) = 6x - 19x + 16x - 4 y 1+ -1…

A: Given: f(x)=6x3−19x2+16x−4

Q: Consider the rational function 3x4 + 8x + 19 f(x) 8x2 – 13 a. What monomial expression best…

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

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Q: Find the rational zeros of the function h(x) = x3 − 19x + 30.

A: Given:         h(x)=x3−19x+30

Q: For the polynomial below, -2 is a zero. f(x) =x + 4x + 2x – 4 Express f (x) as a product of linear…

A: Polynomial equation s

Q: For the polynomial, -1 is a zero of multiplicity two. f(x)= x^4 + 6x^3 + 22x^2 + 30x + 13. Express…

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Q: Use synthetic division to show that c is a zero of f (x) .

A: fx=3x4+8x3-2x2-10x+4,   c=-2 By using synthetic division, we get -2 3        8        -2        -10…

Q: Use synthetic division to find 1"(-1) and f"(-1) where f(x)= 3x'-8x + 5x-2x' + 5x +13

A: To find the f'''-1 and f4-1 Given that the  fx=3x7-8x6+5x4-2x3+5x+13 f'x=21x6-48x5+20x3-6x2+5…

Q: For the function g(x) =x +7x + 7x-15, use long division to detemine whether x+5 is a factor of g(x).…

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

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Q: 1. List all of the possible Rational zeros for the following polynomial: Then find all of the zeros…

A: Given, g(x)=x4-13x2+36

Q: List all the possible rational zeroes for the function f(x)=7x^3-17x^2+13x-3.

A: Given: fx=7x3-17x2+13x-3 for finding all possible rational zeros of given function, we use hint and…

Q: Let f(x) = x' + 2x + 4and g(x)= 3x + 2 in Z,[»). Then, upon dividing f(x) by g(x), we get 7- 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: Given f(x) = 2x³ - 4x + 42. %3D a) Find a rational zeros of f(x) b) Find the other factors using…

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Q: List the potential rational zeros of f(x) = x^5 − x^4 + 2x^2 + 3, but donot attempt to find the…

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Q: 4. Use synthetic division to show that c is a zero of the given polynomial function. a. P(x) =x'-4x²…

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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: Find all rational zeros of: f(x) = 2x* – 11r³ + 14a² – 11r + 12.

A: We need to find the rational zeros of the given polynomial.  By Rational zero theorem, a polynomial…

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: Based on your answers to the previous problem, draw a sketch of the polynomial f (x) = -2(x+4)* (x+…

A: The given polynomial function: fx=-2x+43x+2x-32

Q: Given the function f(x)=2x^2−7x+8. Calculate the following values using synthetic division and the…

A: Explanation: Given that, By using remainder theorem, we will put the x value into the function then…

Q: Use your knowledge of the Rational Roots Theorem to find the zeros of f(x)=x²-3x² - 10x + 24. Then,…

A: Ggg

Q: Find all rational zeros of: f(x) = 2x – 11 + 14.x² – 11r + 12.

A: Given polynomial is: f(x)=2x4-11x3+14x2-11x+12 In order to find the rational root, we use rational…

Q: use the synthetic division to divide f(x)=x^3 - 9x^2 + 26x - 24 by x-3. use the result to find all…

A: Given:- use the synthetic division to divide f(x)=x^3 - 9x^2 + 26x - 24 by x-3 To find:- Zeros of…

Q: For the polynomial below, 3 is a zero. h(x)=Dx' +2x 9x 18 Express h (x) as a product of linear…

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Q: For the polynomial below, 2 is a zero. f(x) = x + 2x - 7x - 2 Express f (x) as a product of linear…

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Q: For y f(x)=x-6x -x +30 : %3D a. List all possible rational zeros of f. Ans 2a_ Use synthetic…

A: The given equation is x3-6x2-x+30 check the root of the cubic equation                if x = 3,…

Q: For the polynomial below, 1 is a zero. f(x) = x³ - 5x² + 3x + 1 Express f(x) as a product of linear…

A: Given:

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

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Q: Evaluate at the given value using synthetic division. f (x) = x+ 8x2 + 15x +3 at x = -3 f(-3)

A: f(x) = x3 +8x2 +15x +3

Q: Use the rational zero theorem to find all possible rational zeros for the polynomial function fx) =x…

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Q: For y = f(x) =xª +2x³ – 25x² – 26x +120 : a. List all possible rational zeros of f. Ans la_ b. Use…

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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: For f (x) = x^3 + 5x^2 + 2x - 8 a) list all possible rational zeros. b) Find all rational zeros c)…

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Q: Use synthetic division to find f (c) .

A: given,         fx=8x5-3x2+7                  and c=1/2

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

A: Solution of given question is written in below steps.

Q: Use synthetic division to show that c is a zero of f (x) .

A: Given f(x)=27x4-9x3+3x2+6x+1               c=-13To show that c=-13 is a zero of f(x)by synthetic…

Q: 12. Find all the rational zeros for the function. f(x) = 5x³ – 16x² – 47x + 10 - -10 -2 1/2

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.