How do hese values compaAre to the Value Of he funchions at r=Z ? What are pol4 nomials How do these Values compare to the the remainders of mese divided by OK-2)? (y)=Zx3 3 713x?+loxt5 (x) = x4+5x3-27x?-101x-70

Q: 3 12у* + 4y - 31у-9у +9 4y? -9

A: The given expression is (12y4 +4y3-31y2 - 9y +9)/(4y2 - 9)

Q: 4. Solve by Cramcr's rulc. Chcck by Gauss climination and back substi- tution. Show details 2x - 4y…

A:

Q: Using the rational root theorem for the polynominl a" – 2r² + 2 – 12,

A:

Q: (2x - 5) dr using left endpoints for n = 5 approximating rectangles. Estimate (2x – 5) dr is…

A: Given interval is from 1 to 3 and the value of n is 5 So we divide the interval into 5 sub intervals

Q: The root of the 7x2+17x-126.08 =0 equation lies in the interval (3.0, 4.0). Find the root with an…

A: Given equation is,  Let, Given that the root of this equation lies in the interval (3.0, 4.0) Here…

Q: manufacturer finds that the revenue generated by selling x units of a certain commodity is givenby…

A:

Q: 7- V5 8. Simplify : 2+ V5. to its principal root and rationalize the denominator.

A: For rationalise multiply numerator and denominator with 2-sqroot5.

Q: 5 dz 7) S– dz (8z – 1)8

A:

Q: 4: You are to choose a non-polynomial function, an interval, and six points at which to interpolate…

A: Given: Choose a nonpolynomial function  To find the Lagrange form of interpolating polynomial and…

Q: We first clear fractions before applying the rational zero theorem. 4 5 3 17 2 9. X -х + 4 5х + 1 -…

A: # the given term has no right side so taking it as m the given expression is x4-54x3+174x2-5x+1=m to…

Q: I'm working on rational equations and hvaing a difficult time finding out how to find what X does…

A: The rational equation is in the form of

Q: Question:- th Find the " polynonmial using Rodnigues foromily -(35x-30x+3) 8.

A: We have to use the fundamental formula.

Q: tions: Find the soluti 10x2 = 6x %3D

A:

Q: A rectangular poster has dimensions (2x-1) by (3x+2). Two congruent squares are cut out of the…

A: Let length of one side of rectangle be (2x-1) and length of other side be (3x+2). Two congruent…

Q: For j(x) = (2-r) (-3x² +2), find j' (-1) by applying the product rule. %3D

A: According to the question, we have to find j1 for jx=2-x2-3x2+2x by applying the product rule. As…

Q: Ques.2. Use the Birge-Vieta method to find a real root correct to three decimals of the following…

A: We calculate root of polynomial using Birge-Vieta method   In this problem the coefficients are…

Q: A. x3 + 4x2 – 5x +9 I. Fifth-degree polynomial B. 5a?b3 II. Constant term of -2 C. 3x4 – 9x3 + 4x°…

A: Match the polynomial in the left column with its descriptive feature in the right column,   A.…

Q: 2+ 6z + 13z + 13 Find the quotient and remainder using synthetic division for: z+2 The quotient is…

A:

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: We first clear fractions before applying the rational zero theorem. 3 4 9. X 5 17 2 + 5x + 1 -X 4 4…

A: Here as the coefficients are non integers so we can not apply rational zero theorem directly so for…

Q: The polynomial P(x) has the following characteristsics: degree 3 • real coefficients • zeros at x =…

A: NOTE: Refresh your page if you can't see any equations. . the first root is x=-4 so the first factor…

Q: The shaded region between the graphs of y - 2x² + 20 and y = 3x – 15 is displayed below in 25 -40…

A:

Q: 2. The area of a rectangular property is 320 m2. The length is 6 m longer than the width, w. Write a…

A: Given that: Area of a rectangular property, A = 320 m2Length is 6m longer than the width.

Q: 2a 6.00 15 2. (2-x

A: 6x2 = 15(2-x)2

Q: Is x + 3 a factor of r + 8x? + 8x – 21? Yes, it is a factor. O The remainder when you divide is Is…

A: Given

Q: Find the second-degree Taylor polynomial for f(x) = 4x? – 3x + 8 about a = 0. P2(x) = What do you…

A: Taylor polynomial 2nd degree polynomial is at e=0

Q: A rectangle is constructed with its base on the diameter of a semicircle with radius 27 and with its…

A:

Q: 10.6. Show that 2x + 1 is a unit in Z4[x]. Then, for any prime p, find a unit in Z,²[x] that is not…

A: An element a of a commutative ring R is a unit if there is an element a-1∈R for which a·a-1=a-1·a=1.…

Q: What is the remainder when f(x) = x³ - 2x2 + 4x -21 is divided by x - 3. Is x - 3 a factor or not?…

A:

Q: 9) What is the quadratic polynomial in standard form Given x = 3 and -4 Change roots into factors…

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Q: %3D What are the rational roots of x4+ 4x3 - x² - 16x – 12 = 0?

A: Calculate the roots of the given equation and check whether they are rational or not.

Q: 2 3. Rationalize the denominator of What do you observe about the result V5 – 1 obtained from…

A:

Q: A rectangular corral of 52 square meters is to be fenced off and then divided by a fence into two…

A: I'm providing hand written solution for better understanding.

Q: 3 7x 3) Suppose a classmate solved the rational equation: x-5 x+2 x– 3.x – 10 He stated that the…

A:

Q: y stretched vertically by a factor of 3 52 y- x -1, compressed horizontally by a factor of 2

A:

Q: 9 linear When an integrati ng factor is introduced to equati on of the first equation order, it does…

A:

Q: Match the justificalion to each step of the algebraic proof to solve the equation: 3x+1=6z- 14 3x+1…

A:

Q: Find the maximum of f (x, y) = 5y² + 5xy - 5x² on the square domain 0 < x < 6,0 < y < 6. (Give an…

A:

Q: How do you find the domain and range of a function ex. f(x) = 2x^2 + 1 or f(w) = 3 cubed root of w…

A: Given information:The given information is

Q: +2 7. (i) Show that A(c) !! (-2)* (ii) Given the previous part, find a closed form for >

A: Find your answer below

Q: 1. Classify-2x-+ &r + 12 by degree. a. quartic b. quintic c. quadratic d. cubic

A: Degree is the greatest exponent in the given polynomial.

Q: What are all the real zeroes of y=(x–12)^3 –7? Please show work. Thank you:)

A: Given: y = (x - 12)3 - 7 What are all the real zeros.

Q: The annual total revenue for a product is given by R(x) = 10,000x – 5x² dollars, where x is the…

A: Given:   P(x) = -12x2+1320x-36000

Q: what is a polynomial of the degree 4 with the interger coefficients with zeros of 1+3i and 2 (with 2…

A: we are given zeros as

Q: a) The sign of the leading coefficient is negative. b) The degree of the polynomial is even. c) At X…

A: To answer whether the following is true or false.

Q: The volume of a box is 36x^3+6×^2-72×+30 its length is 3x+5 and uts width is 3x-3 use these to…

A:

Q: The polynomial  0.0035x^3+0.0053x^2+0.18x+1.07 gives the approximate total earnings of a company, in…

A: A function of the form,  p(x)=a0+a1x+a2x2+....+anxn , where an is non-zero is called a polynomial in…

Q: 5- By using Bisection method to find a root of the equation x3 – 4x – 8.95 = 0, a root lies between…

A: By using Bisection method of root finding,the root of given equation lies in (C) a=2 and b=3…

Q: 3 7x 3) Suppose a classmate solved the rational equation: x-5 x+2 x – 3x –10 He stated that the…

A: Given rational equation : xx−5+3x+2=7xx2−3x−10 Stated solutions are x=5 and x=-3