28. Give the formula, in factored form, of the polynomial p(x) whose graph is shown below (2,0) Нх 3,0) |(0,-2)

Q: 15. Given the fumctions a(x) = x² + 2x- 1 and b(x), shown on the graph below, find P(x), where P(x)…

A: Given:  a(x)=x2+2x-1. b(x)=x+3. Determine the function P(x).…

Q: 29. Write a third-degree polynomial f(x) with integer coefficients and zeros of i, -3, and 3.

A: Given  zeros of a third degree polynomial 14,−12 and 3

Q: 47. For what value of k will the polynomial function f(x)=x²+6x² +kx -4 have the same remainder when…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Q1-Using the nodes (x, =2, x-=2.5 and x; =4), to find the second interpolation polynomial for flx) =

A: Given nodes are x0=2, x1=2.5, x2=4 and function is f(x)=1x Now table is x 2 2.5 4 f(x) 0.5 0.4…

Q: How many inflection points can a: (a) quadratic polynomial have? (b) cubic polynomial have? (c)…

A: fx be a qudratic polynomial .⇒f''x=constant xtherefore a quadratic polynomial never has any…

Q: The polynomial of degre3, P(x), has a root of multiplicity 2 at X=1 and a root of multiplicity 1 at…

A: Given that: Root x=1 has multiplicity 2Root x=-1 has multiplicity 1.y-intercept is y=-0.8

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

A:

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: 4. If x=-4 and x=1 are the roots of x* + 3x' - 3x +3x – 4 = 0, find the other two roots of the…

A:

Q: What is the degree and lead coefficient of the following polynomial? f(z) =−+52 = −x + 5x² − 6x³ +…

A: We have fx=-x+5x2-6x3+10 This can be written as: fx=-6x3+5x2-x+10 The degree is the highest power…

Q: 4. Find, in factored form, the cubic function y in the graph. Let the leading coefficient be a if…

A:

Q: 19) Determine a polynomial that represents the area of a square having sides of length s x + 8. B)…

A:

Q: 0=1+xx + ₂X4₁

A:

Q: 4. Write a formula for a quadratic with the given features: x-intercepts (-3, 0) and (1, 0), and y…

A: We need to find quadratic formula.

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: 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)…

A: Graph of the polynomial function is given, we have to find its equation. Note: Multiple questions…

Q: 10. Determine whether the first polynomial in P3(R) can be expressed as a linear combination of the…

A:

Q: 16. Write a polynomial function with end behavior of: on the left f (x) goes to + 0o and on the…

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

Q: 8. For every quadratic there are two roots (or zeroes or x-intercepts). They are always given by Vb²…

A:

Q: 6. Determine the constant term of the polynomial with integer coefficients of lowest degree with…

A:

Q: 11. Find the quadratic polynomial y = ar +br+c whose graph passes through the points (-2,-16),…

A:

Q: 1. Determine the coordinates of the vertex of each of the following using the method given. a) f (x)…

A:

Q: 6 +Y - -5 -3 -6-5 -4 -3 -2 -1.0/1\2 FF 394 5 6 +2 +3 4. 2.

A:

Q: 4.9 (a) Evaluate the polynomial y = x – 7x + 8x – 0.35 | at x = 1.37. Use 3-digit arithmetic with…

A: Answer for sub question a: First determine the powers of x needed for evaluating the polynomial.…

Q: 13. What are the roots of the polynomial equation: x3 + 6x2 + 3x – 10 = 0? A. 1, 2 and 5 B. 1, -2…

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

Q: 1. It is known that the polynomial p(x) = 2 – (x + 1) + x(x + 1) – 2æ(x + 1)(x – 1) interpolates the…

A: Solution by using Newton's forward difference interpolation method .

Q: If alpha and beta are zeroes of the quadratic polynomial x2 -6x + y. Find the value of the of y if…

A:

Q: 3. Solve for all the roots of x using Bairstow's Method starting at ri = 0.25 and s1 = 8.75 of the…

A: We will use the basic knowledge of Bairstow's method to precisely find all the real and complex…

Q: (b) Find the nested form Q(x) of the polynomial /(x) = x³ + 2x2-5x + 3 and hence evaluate Q(2.6)…

A:

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

A:

Q: If a polynomial a degree of 3, P(x), has a root of multiplicity 2 at x=2, and a root of multiplicity…

A:

Q: 42. What is the polynomial equation whose roots are {-2, 2, and 4 of multiplicity 2} A. 2x* - 2x +…

A: As per bartleby guidelines we only give first question answers.

Q: 1. Write the equation to the polynomial with double roots at 3 and 6, that levels off as it passes…

A:

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: 8. (a) Compute the roots of the quadratic polynomial s² + 2s + 5. (b) Is the polynomial s2 + 2s +5…

A: Given quadratic polynomials2+2s+5a.Discriminant,D=b2-4acD=22-4×1×5D=-16D<0so, this quadratic…

Q: Find the conditions that the zeroes of the polynomials Ax) =x – px+ qx – r may be in arthametic…

A:

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

A:

Q: 8. Find the sum of all the zeros of the polynomial f(x) = x + 2x2-5x-6 O -5 -2 0. 2 6

A: Given equation is fx = x3+2x2-5x-6Comparing it with ax3+bx2+cx+d = 0a = 1, b = 2, c = -5, d = -6

Q: If x = -1 is a root of the polynomial 0 = æ³ + 2x2 – 5z – 6. what are the other roots? Ox =-3, x = 2…

A: see next step

Q: 4. If p(z) (4x – 5)(4x + 5), what are the zeros of the polynomial? = - and x = : O B. x = - and x =…

A:

Q: 8 Σ n=1 an, an = ýnt + 4n3 + 6n2 – 3/ P(n)

A: Given : infinite series      ∑n=1∞an ,   an=n4+4n3+6n24-Pn3 To find : third degree polynomial Px…

Q: 17. Find the solution to the interpolation problem of finding a polynomial q(x) with deg(q) < 2 and…

A:

Q: 9. Use the graph of )-+3x-4 to identify the values of x for which - and to factor ). a. x- 2,x - c.…

A: Topic - functions Point at which graph cuts the x axis is zero of the polynomial or f(x)=0 at that…

Q: 4. Which of the following describes the end behavior of the polynomial y = –x³ + x? %3D as z -oo, y…

A: Here  function is given and we have to find the end behavior of function

Q: 9. For the polynomial function f(x)= x³ - bx² + cx-24 where b,cel, all of the following are…

A: The given function is a cubic polynomial: f(x)=x3-bx2+cx-24     , here b,c∈I If p is a zero of that…

Q: 18. Given the polynomial irrational roots. f(x)=2x²-x²-5 . use linear interpolation to approximate…

A: Given: The polynomial is fx=2x3-x2-5. To find: The roots of the given polynomial.

Q: 1. (a) Evaluate the polynomial y = x³ 5x2 + 6x + 0.55 at x = 1.37. Use 3-digit arithmetic with…

A: Solution a: Given polynomial is y=x3-5x2+6x+0.55 at x=1.37…