24. Use the Factor Theorem to determine whether x – c is - a factor of f (x). f (x) = x* – 5x2 – 36 ; x – 3 - - -

Q: 2. Use syntr dhe hirst polynomial by the second. а. х2+x -3; х-1 b. 4x- 3x2+ 3x - 2; x-1 c. x'+x°…

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Q: Find k such that f(x) = x3 - kx2 + kx + 2 has the factor x - 2.

A: The general polynomial equation of degree n  is an equation of the form…

Q: What type of polynomial satisfies f"(x)=0 for all x?

A: Topic-polynomial

Q: Show that f(x) = x3 - 2x - 1 has a real zero between 1 and 2.

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Q: Given the function C(x) = (– 8x + 2)"( – 12x – 7)°, - - its zeros are and their multipicities are

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Q: Prove that c = 4 is the largest root of f (x) = x4 − 8x2 − 128.

A: Given function is, fx=x4-8x2-128. To find the largest root substitute x4-8x2-128=0 Let x2=u. Then,…

Q: (b) Suppose that f(x) : УBx2 — 3 (Bx +2 if if x 2 Find the value of ß so that f(x) is continuous…

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Q: 1. Differentiate. Show your work to get credit. a) g(x) = x* In(2.x² +7) by using the product rule.

A: SInce multiple subparts are asked, I am ansering only first 3

Q: Determine a value for p so that f(x)=px2−18x−7 has a maximum at x=−2

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Q: Let ƒ(x) = x3 - x - 1. Use the Intermediate Value Theorem to show that ƒ has a zero between -1 and…

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Q: What effect does the “k” in F(x)= ^3 √x + k have on the graph of the cube root function if k>0 and…

A: Consider the given function and plot the graph for k = 0. Given, fx=x3+kFor k=0, fx=x3

Q: Factor f(x)=2x^3+5x^2-83x+40 into linear fuctors given that -8 is a zero of f(x)…

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Q: 29. For |x|<1, prove that 24x 1-x 16x 8x 1 + 1-x1+x ....... 8x &r = 1+ (1- x) (1 +x)2 ' (1-x)2 ...

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Q: 11. Use the quadratic formula to explain why a quadratic polynomial function f(x) = ax? + bx +c is…

A: fx=3x2+2x+6

Q: Analyze the polynomial function f(x) =x-(x- 2) using parts (a) through (e).

A: Please find attachment for the details solution

Q: Find k such that f(x) = x4 - kx3 + kx2 + 1 has the factor x + 2.

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Q: Consider the following. Fx) = * f(x) 4 14 - 32x2 Find the critical numbers. (Enter your answers as a…

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Q: Find a polynomial of degree n=2 that has the given zero(s) x = −3

A: Let us find a polynomial with a degree of 2 and a zero x=-3 A factored polynomial with a zero -3 has…

Q: 4. Consider f(x) = 2x² + 3 on the closed interval I = [0, 4].

A: I have Provided this answer in step-2. i have given an only one answer because as per our policy.

Q: IV. Use the factor theorem to show that d(x) is a factor of f(x). 7. d(x) = x + 1 f(x) = x +1

A: As per our guidelines we are supposed to answer only one question i.e. the question no (7). For the…

Q: 4 Use the Intermediate Value Theorem to show that the polynomial f(x) = 3x* - 10x +4 has a real zero…

A: Given interval is -1 to 0 Use intermediate value theorem to show that polynomial has a real zero…

Q: 6. Use the Remainder Theorem to evaluate f(x) = 10x* - x3 + 13x2 – 9x + 17 at x =-.

A: Since the student has mentioned to solve question number (6), so we are solving only question number…

Q: Let f(x) = x³ +x + 4 and g(x) = 3x + 2 in Zs[x). Then, upon dividing f(x) by g(x), we get None of…

A: Every integer polynomial we can write as an polynomial in Z5(x). Using this idea again and again we…

Q: 9 Use the factorization theorem to determine whether x−1/2 is a factorof f(x) = 2x^4 − x^3 + 2x − 1.

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Q: Show that f (x) = x2 + 3x−1 and g(x) = 3x3 − 9x + x−2 are rational functions—that is, quotients of…

A: To show: That the functions are rational function: Given: The functions are fx=x2+3x-1 and…

Q: @ f(x)= x²-3x-4 2 @ f(x) = x² - 4x +3 Show that whether f(x) reduceable Poly or not

A: The given problem is solved below in detail.

Q: show that the polynomial f(x)= x^3-2x -5 has a real zero between 2 and 3

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Q: Use the Intermediate Value Theorem to show that the given polynomial f(x) = x3 - x - 1, has a real…

A: We have to show that the given polynomial fx=x3-x-1 has a real zero between 1 and 2 Finding the…

Q: Use the Intermediate Value Theorem to show that f(x) = x^2 − 3x + 1 has at least one real zero…

A: Given:- Use the Intermediate Value Theorem to show that f(x) = x2 − 3x + 1 has at least one real…

Q: (1) As x→ t0, the end behavior of the polynomial p(x) = 3x°(1 – 2x + x°) can be resembled as (A)…

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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: (4) Let f(x) = xª + 2x³ + 6x² + x – 1. Find, with proof, the number of zeroes of f.

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Q: IV. Use the factor theorem to show that d(x) is a factor of f(x).

A: Factor theorem :If f(c)=0 then x-c is a factor of f(x) or if x-c is a factor of f(x) then f(c) = 0

Q: Given the function C(x) = (x – 3)( – 9x + 5)*(x – 7)°, its roots are and their multiplicities are

A: Given, C(x)=(x-3)(-9x+5)4(x-7)9

Q: could you help please help with these questions. Thank you

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Q: Q2) If f(x) = (x), and g(x) = (2- x)i find (gof) (x) and the domain of (gof)(x).

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Q: 1. State the degree, leading cocfficient, and end behaviours of cach polynomial function. a) f(x) =…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Use the Intermediate Value Theorem to prove that 8sinx = x has a solution between and a. 2

A: Let us consider a function f(x)= 8sinx-x

Q: 19. The polynomial f(x) = (x – 2)3 = (x – 2)(x – 2)(x – 2) has æ = 2 as a zero four times. True…

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Q: Show that the cubic polynomial p(x) = ax3 + bx2 + cx + d has exactly one point of inflection (x0,…

A: Given Data The cubic polynomial equation is p(x)=ax3+bx2+cx+d. The equation is p(x)= x3-3x2+2.…

Q: is a zero of the function f(x)=2x' - 15x2 + 34x – 21 Hint - ( 2x -7) as a linear factor 712 712 8.

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Q: Evaluate when x = 1 by using the Remainder Theorem. 31. f(x)=x -5x² +6x- 3 32. g(x)=2x –3x² +5x+3…

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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 yintorcopt is approximatoly The x-intorceptx .4 was created by the factor. The x-intorcopt x = 2…

A: Given query is to read the graph and find the intercepts and the function.

Q: Use intermediate theorem to explain P [x] = x* – x' – 10 has a zero in [2, 3]

A: According to intermediate value theorem of a function f(x) is continuous on [a, b] and L is any…

Q: One factor of f(x) = x³ – 7x2 - 20x + 96 is x - 3. What are the zeros of f(x)? (Enter your answers…

A: Given:The given function is f(x)=x3-7x2-20x+96and one factor is given i.e. (x-3) To…

Q: Given that f(x) = 2x^3+9x^2-60x+70, Find the local maximum and local minimum for f(x)

A: Given,            fx=2x3+9x2-60x+70

Q: True or False The domain of 1f # g2 1x2 consists of thenumbers x that are in the domains of both f…

A: The domain of (f·g)(x) consists of the numbers x that are in the domains of both f and g