4. How should the polynomial function f(x) = -x + 2x³ + 3x5 – 6 be written in standard form? A. f(x) = 2x³ – x + 3x5 – 6 В. f (x) %3D —х + 2x3 + 3x5 — 6 С. f (x) 3 Зx5 + 2x3 — х — 6 D. f(x) = 3x5 + 2x3 + x – 6 %3D

Q: 2. Sketch a graph of a quartic polynomial function y = fx) such that: € fu) > 0 when - 2 1

A: In the given question we have to draw the graph of a quadretic polynomial s.t f(x)>0 when…

Q: Find a cubic polynomial f(x)=ax^3+bx^2+cx+d that has horizontal tangents at the points (-3,2) and…

A: Consider the given cubic polynomial fx=ax3+bx2+cx+d, it has horizontal tangents at the points (-3,2)…

Q: (c) x + 4x + 2x + 3x -x+5 (4) x + Sx + 4x + 7 19. Write euch polynomial as a product of irreducible…

A:

Q: For what values of the constants A and B is the polynomial function Ax 2. 2 4 f(x, у) %3D Ах + Bxy +…

A:

Q: 1. When the polynomial f(x)= px' +5x +qx-2 where p and q are constants is divided by 2x +3x-2 the…

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Q: 35. Write a third-degree polynomial f(x) with integer coefficients and with zeros of -2i and.

A: Given: A third degree polynomial with integer coefficients and with zeros of -2i and 5/3. Concept…

Q: need help with this for History of Math Stilwell 8.7.2 dealing with projective geometry

A: Proof:

Q: 4. The polynomial equation whose roots are {-1, - ½ and 3} is А. 2х3- Зx2 - 8х-3%3D0 В. х3 - 6х2 - х…

A:

Q: Which is the graph of the polynomial function p(x) = (x-1)(x+1)(x-4)? 241r 24fr y p(x) 16 16 8 8- -6…

A:

Q: The sum of coefficients of the polynomial f(x) is equal to 2 and the sum of coefficients in even…

A: A polynomial f(x) can be represented by f(x)=a0xn+a1xn-1+...+an-2x2+an-1x+an where…

Q: 4) For the function 16 u y=-0.0519x+1.0777x-7.4569x+ 20.247x - 12.333 R=0.6113 12 10 4. time 10…

A:

Q: 4 Let p(x) be a degree 3 polynomial with a negative leading coefficient. Which of the functions…

A: p(x) be a polynomial of 3 degree with negative leading coefficient.

Q: 2. If the polynomial f (x) divided by (x – 3) gives a remainder of -1, then the remainder of…

A: Solution is given below:

Q: 4) For the function 16 4 y=-0.0519x+1.0777x-7.4569x +20.247x- 12.333 P=0.6113 12 10 4. 2. 4. time 10…

A:

Q: (c) Express the quadratic form Q(x1,x2, x3) = 6x + 3x3 + 3x3 – 4x1x2 - 2x2x3+4x3x1 %3D to the sum of…

A: A detailed solution is given below.

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Q: For the given polynomial y a2x2 + azx³, determine a2 and az that will make %3D (1,3) a point of…

A: Based on trial and error method we will solve the the first equation.  As per the bartleby policy,…

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

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Q: 1 is a zero of the polynomial P(x) = x³ – 3x* + 7x³ – 13x² + 12x – 4 of multiplicity (а) 3 - - (b) 5…

A: 1 is the zero of given polynomial.

Q: 4. The possible equation of polynomial function for the following graph is a) f(x) - (х-2)(х+3)(x-5)…

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A:

Q: Find a cubic polynomial f(x)=ax^3+bx^2+cx+d that has horizontal tangents at the points (-3,2) and…

A: We have to find the cubic polynomial f(x)=ax3+bx2+cx+d...........(1), so that it has horizontal…

Q: 1 is a zero of the polynomial P(x)= x³ – 3x* + 7x³ – 13x² + 12x – 4 of multiplicity (а) 3 (b) 5 (c)…

A: Let's find x value.

Q: 3. f(x) = x2- 4x- 5 4. f(x) = X2 - 9x - 36 (x-12)(x+3) roots are x=12 x=-3 5. f(x) = x2+ 3x- 40 6.…

A: Given3)f(x)=x2-4x-55)f(x)=x2+3x-406)f(x)=x2+22x+21 To find Roots of above

Q: I am trying to find out if the polynomial 12x^4+8x^3+9x^2+4x+4 is reducible or irreducible over Q.…

A: The given polynomial is, 12x4+8x3+9x2+4x+4

Q: Q3: Factorize f (x) = 2x* + x³ + 2x + 4 € Z5[x] as a polynomials product to irreducible over Z5?

A:

Q: Find the quadratic polynomial g(x) = ax2 + bx + c which best fits the function f(x) = 2x at x = 0,…

A: To find the quadratic polynomial gx=ax2+bx+c which best fits the function fx=2x at x=0, in the sense…

Q: Express the polynomial x3 + 2x + 3 EZŞ[x]as a product of irreducible polynomials of Z5[x].

A: Explanation of the answer is as follows

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

A: Find a polynomial of degree n=2 that has the given zero(s) x = −√2, √2

Q: Which polynomial function has 3 as a zero of multiplicity 4 and − 6 as a zero of multiplicity 2?…

A: Total number of repetition of a single zeroes in a function is called it's multiplicity: Since given…

Q: The polynomial of degree 33, P(x)P(x), has a root of multiplicity 22 at x=3x=3 and a root of…

A:

Q: 10 - Which one is the highest order Lagrange polynomial of the grids below? Xị Yi -2 3 1 -1 x2—9х-8…

A: We have to solve given problem:

Q: 1. Fill in the table below with information about each of the following polynomials. Polynomial…

A: We have to find the degree and the end behaviour of the polynomial.

Q: 2. (а) Find the function P(x) = a +b cos(n x) +c sin(nx), which interpolates the data 0.5 1 y 4 (b)…

A:

Q: What is the sixth-order Taylor polynomial for f(x) =/1+2x² about xo = 0? (A) 1 + x² – 8 16 x6 (B) 1…

A: Taylor series of a function f(x) about x=a is defined as:…

Q: Suppose p(x) is a cubic polynomial that shares two of its roots with f (x)=2x² – 5x+3, has the same…

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Q: Find the Third degree Taylar polynomial To (x) centered at a-1 for the function fCx) = ã…

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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: 4. Use synthetic division to find ALL the roots of f(z) of these. = z' + 26z³ + 10z² + 25z + 250 if…

A: Let w be a root of the polynomial f(z) then  f(z)=(z-w)g(z) Where g(z) is a polynomial of degree…

Q: #7: For what value of k will the polynomial function f(x)=x'+6x² +kx=4 have the same remainder when…

A: The Polynomial Remainder theorem states that if x-b divides the polynomial, Qx, then the remainder…

Q: 10) Use Lagrange coefficient polynomial L3,2(x) to find L3,2(5) using the nodes Xo = 3,x1 = 4, x2 =…

A:

Q: 29. Select the quadratic polynomial with roots –1 and 4. x2 + 3x – 4 x3 – 2x2 – 7x – 4 4x² + 8x + 4…

A:

Q: 3. Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not…

A: Given:  To show “ cubic functions must have at least 1 x-intercept but not more than 3". To prove…

Q: Find the polynomial f(x) of lowest degree with only real coefficients and having the zeros 3+ V2, 3-…

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Q: 6. Give an example of a polynomial function that has each of the following end behaviours: a) As…

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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 cubic polynomial shown below has zeros at x= -4 and x=2 only has a relative maximum at (-2,8).…

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Q: there is at most one polynomial of degree less than or equal to n_____ option,(a) which interpolated…

A: Using interpolation theory, We need to check which option is correct.

Q: Find an equation with real coefficients for the polynomial that passes through the point (0,…

A: we have to find an equation with real coefficients for the polynomial that passes through the point…

Q: 8. Match the polynomial equation in Column A with the correct rational zeros in Column B. Column A…

A: