1. Write the equation to the polynomial with double roots at 3 and 6, that levels off as it passes through the point (-4, 0) and that also passes through (2, -20).

Q: Use the given information about the polynomial graph to write the equation. Degree 5. Roots of…

A: In this question, we need to find the polynomial equation using the information given about…

Q: I the zeros of the given quadratic polynomials, and verify the relationship between the oefficient…

A: Explanation and solutions is given below.....

Q: Find a fourth degree polynomial that has zeros of 1,-3,2i

A: The zeros of the polynomial are 1, -3, 2i. Since 2i is the zero of the polynomial, therefore its…

Q: Find a fourth degree polynomial with real coefficients that has zeros of -3, 2, i that passes…

A: Let us consider a fourth-degree polynomial:

Q: The cubic polynomial shown below has zeroes only at x= -3 and x = 5 and passes through the point (2,…

A: To find y value

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: If a third degree polynomial has a lone x-intercept at x a , discuss what this implies about the…

A:

Q: Give a polynomial equation with integral coefficients that has the following roots. 2, 3, 1/2

A: we can write polynomial as product of roots

Q: 1) Sketch a cubic polynomial whose zeros are -1, 2, and 9

A:

Q: Consider 2x3+3x2-x+7=0 where α, β, γ are roots.  Find α2β+β2α+γ2β+β2γ+α2γ+γ2α

A: Given, 2x3+3x2-x+7=0

Q: Suppose that a polynomial function of degree 4 with rational coefficients has 6, 4, 2i as zeros.…

A: We know that "If the polynomial has only real coefficients, then any complex roots must occur in…

Q: If a third degree polynomial has a lone x-intercept at x=a what does this imply about the linear and…

A:

Q: Which polynomial function would have the end behaviour of as x →to, y →o?

A:

Q: How does the linear factorization of f(x), that is, AX)=an (x-c1)(x-c2) (x-C). show that a…

A: Here the linear factorization of the function f(x) is given as:…

Q: Find an equation of the cubic polynomial f(x) = ax3 + bx2 + cx + d that passes through the given…

A:

Q: Find a fourth degree polynomial that has zeros of 3,-3,i

A:

Q: Find the polynomial in x of the third degree, which vanishes when x=-1 and x=2 has  the value 8 when…

A:

Q: 9. Find the roots of the polynomial equation x-4x +x+26 = 0 O 3+2,-2 O-3+2,-2 O 3±2,2 O -3+2,2

A: Since you have posted multiple question we will answer first problem to solve remaining problems…

Q: Find the roots of the functionf(x) = (2x−1)·(x2+ 2x−3) withx∈R

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: 2.1,2.-5, I 3. 9.)-2, 5 -3. 2 2 3 169-4,2 -3.4 .3,¢ 2

A: Note:- according to the company policy we can attempt ?️ only one question so please upload the next…

Q: Find a polynomial f (x) of degree 5 that has the following zeros. 3, -4 (multiplicity 2), 7, -2…

A: Find a polynomial F(x) of degree 5that has the following Zeros3,-4 (multiplicity 2) , 7,-2

Q: Show that if the quadratic polynomial f (x) = x2 + rx + s takes on both positive and negative…

A: Find the real roots of the polynomial,

Q: Sketch a higher degree polynomial with the following roots: -2, 3, -3, 6. f(x) 9,

A: It is given that the roots are -2, 3, -3 and 6. That is, x+2=0, x-3=0, x+3=0 and x-6=0. The…

Q: Find a polynomial of degree 4 that has a real coefficient and has 3,2 and 2+i as some of its roots

A:

Q: C) Find a polynomial of degree 2 that has two irrational zeros

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: Write a fifth-degree polynomial in factored form that approaches positive infinity as x approaches…

A: Please refer the attached image for complete solution. THANK YOU.

Q: 2. Determine the polynomial equation with integral coefficients whose roots are -1, -2, and -3.

A: Answer and explanation is given below

Q: 4. Is it possible for a 6th degree polynomial with real coefficients to have 6 imaginary solutions ?…

A: To explain about the polynomial

Q: 5. Write the equation in factored form of a degree 3 polynomial function with roots at -2, - 3, and…

A:

Q: Produce the quadratic polynomial interpolating the data {(-2, –15), (–1, –8), (0, –3)}. Find the…

A: We will find out the required equation of quadratic polynomial.

Q: b) Write down the polynomial equation for (1,-2) and (4,3) using Lagrange Method.

A: Let x,y =1,-2 and x2,y2 =4,3Then by Lagrange 's method , interpolating polynimial is given…

Q: (4) Find a polynomial that has 1+i and 1- i as zeros.

A: We have to find polynomial

Q: Give a polynomial equation with integral coefficients that has the following roots. ±2 , ±3

A: To give a polynomial equation with integral coefficients that has the following roots.±2 , ±3

Q: 4) -3, -4, 5 ansurer -2 -3 3 answer 6) - answer .

A:

Q: Find a possible formula for a polynomial with degree n=2 and the zeros are x = 4 and x =-5.

A: It is given that, degree n=2 and the zeros are x=4 and x=-5 We have to find formula for a polynomial…

Q: 1. Find a polynomial of degree 3 whose zeros are -4, -1, 2 and y intercept 16.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Create a polynomial equation with real coefficients that has 2 and 1-i as roots.

A: To create a polynomial equation with real coefficients that has 2 and 1-i as roots.

Q: Find the equation for a cubic polynomial that could generate this graph given that it passes through…

A: We have to find the equation for a cubic polynomial that could generate this graph given that it…

Q: If a + bi is a root of a polynomial equation with real coefficients, b ≠ 0, then________ is also a…

A: Given: if a+bi is the root of a polynomial equation with real coefficients,b≠0, then ..............…

Q: Write the rule of the cubic polynomial with roots 5, -2, and 0 that passes through the point (3,–7).

A:

Q: Find the equation for a cubic polynomial that could generate this graph given that it passes through…

A:

Q: 15) 2, 3, 5, -4 16) 1, 3, -4

A: 15)  The zeros of the function are 2, 3, 5, -4

Q: find all roots of the polynomial f(x)=(3x-2)(3x^2-5)(x^2+9)

A:

Q: Find the function in stardard form of the polynomial that has the roots x=1,2 and -5. (Assume that…

A:

Q: Find Ao, A1, and 4, in rewriting the function of ()- r>0 in terms of Lagure polynomial, /)=4L(*).

A:

Q: Give a polynomial equation with integral coefficients that has the following roots. 1± 2i, 2±√3

A: We can solve the problem by just multiply the factor of the polynomial.

Q: Which is the cubic polynomial in standard form with roots 3, -6, and 0?

A: