Finding a polynomial of a given degree with givenFind a polynomial f(x) of degree 4 that has the following zeros.8, -1 (multiplicity 2), 0Leave your answer in factored form.(2) = D O POLYNOMIAL AND RATIONALFinding a polynomial of a given degree with given zeros: Rea...Find a polynomial f(x) of degree 4 that has the following zeros.8, -1 (multiplicity 2), 0Leave your answer in factored form.() = |!!ExplanationCheck11

To find a polynomial f(x) with degree 4. Given zeroes : 8,-1 (multiplicity 2) ,0 Here, multiplicity…

Answered: Find a polynomial f(x) of degree 4 that…

Find a polynomial f(x) of degree 4 that has the following zeros. 8, -1 (multiplicity 2), 0 Leave your answer in factored form. 5() = D %3D

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.3: Dividing Polynomials

Problem 64E: Finding a Polynomial with Specified Zeros Find a polynomial of the specified degree that has the...

See similar textbooks

Related questions

Q: Find a polynomial of degree 3 Zeros -2,1,0 and P(2)=32

A: Given:The zeros given of the polynomial are -2,1, and 0.If a polynomial has a zero at x=c, then x-c…

Q: 1. Determine the number of degree and the end behaviours of the polynomial y = (x + 5)(x − 1)(x +…

Q: Find a polynomial f(x) of degree 3 that has the following zeros. 2, -6, 0 Leave your answer in…

A: Given: The degree of the polynomial is 3. The zeroes of the polynomial are 2, -6, 0

Q: (d) -2,1 (e) 1-i,1+i (f) 0,2,–3

Q: A degree five polynomial with a negative leading coefficient is called a _function and its right arm…

Q: Find a polynomial f(x) of degree 3 that has the following zeros. 9, 7, -8. Leave the answer in…

Q: Find a polynomial function with real coefficients that has the given zeros.2, 2, 1 + i

A: Given- The roots are 2,2 and 1+i. To Find- The polynomial function.

Q: Find a polynomial f (x) of degree 3 that has the indicated zeros and satisfies the given condition.

A: Since the zeros of the polynomial are -1, 2, 3, therefore the factors of fx are, x+1, x-2 &…

Q: Find a polynomial function P, with real coefficients, that has the indicated zeros and satisfies the…

Q: find a degree 3 polynomial having zeros -8, 2, 6 and coefficient of x3 equal 1. the polynomial is:

A: Zeros are -8, 2, 6. So, factors will be –

Q: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. -3, 1+i X S

Q: Find a polynomial f (x) of degree 3 that has the following zeros. 4 (multiplicity 2), -8 Leave your…

A: A polynomial f(x) has zeros, 4multiplicity 2, -8

Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4; zeros –1,…

Q: Find an n-th degree polynomial function with real coefficients satisfying the given conditions.…

Q: Find an nth degree polynomial function with real coefficients satisfying the given conditions…

A: Complex zeroes occurs in pair. So if i is a zero then -i is also a zero.

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

Q: find the function P defined by a polynomial of degree 3 with real cooefficients that satisfy the…

A: find the function P defined by a polynomial of degree 3 with real cooefficients that satisfy the…

Q: Find a polynomial function of degree 3 with real coefficients that has the given zeros. - 1, 2,-3…

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions as : n…

A: Since 1 and i are the zeroes of the polynomial, therefore

Q: Find a polynomial function with real coefficients that has the given zeros: 1,1, 2+√3i.

Q: 2. If a third degree polynomial has a lone x-intercept at x=a, discuss what this implies about…

A: The x-intercept of a function is the point at which the function touches the x-axis. That is the…

Q: Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): 3,3,-1 .…

A: see 2nd step.

Q: Sketch a cubic polynomial g(x) with the following characteristics. g(x) > 0 on (-o0,-4) and (-2,3).…

Q: 1. a) Create an equation for a polynomial function, P(x), of degree 3 or higher, in factored form…

A: A cartesian coordinate system contains two mutually perpendicular number lines named x axis and y…

Q: In Problem,explain why the facts given are contradictory.

A: Zero of a function is a point in its domain for which the function takes the value equal to 0. A…

Q: find the polynomial function p(x) of degree 3 with real coefficients that satisifies the given…

A: The zeros of the polynomial are given by r1=-6r2=1r3=0 The value of the polynomial function at x=-2…

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: Find a polynomial function of degree 3 with real coefficients that has the given zeros. -1, 2,-9 The…

Q: Find a polynomial function P, with real coefficients, that has the indicated zeros and satisfies the…

Q: Find a polynomial f (x) of degree 4 that has the following zeros. 8, -1 (multiplicity 2), 0 Leave…

A: We have to find a polynomial f(x) of degree 4 that has the following zeros 8,-1,-1,0 i.e x =…

Q: Find an nth degree polynomial function with real coefficients satisfying the given conditions. 15) n…

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

Q: (b) Find a polynomial function of degree 4 whose zeros: -i; 3 (multiplicity 2).

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)…

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

A: We have to first need to find value of g(x).

Q: Find a polynomial f (x) of degree 3 that has the indicated zeros and satisfies the given condition.

Q: find a degree 3 polynomial having zeros -8, 2, and 6 and the coefficient of x3 equal 1. the…

Q: Find an 4th degree polynomial function with real coefficients whose zeros are 4,–1,2, v2i and a…

A: Here degree of polynomial is 4 so it has 4 roots.

Q: 4. Consider the polynomial f(x) 1234(x + 5)²(x² + 4)(x³ + 8). (a) What is the degree of f? How can…

A: Given f(x)=1234x+52x2+4x3+8

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: Find a polynomial f (x) of degree 4 that has the following zeros. 7 (multiplicity 2), –3, 0 Leave…

Q: 6. Does there exist a polynomial of degree 4 with integer coefficients that has zeroes i, 2i, 3i and…

A: Complex root must be in conjugate pair

Q: Find a polynomialf (x) of degree 3 that has the following zeros. 6 (multiplicity 2), –1 Leave your…

A: Given; 6(multiplicity 2),-1.

Q: Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): 4,2,-4.…

A: We find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x):…

Q: Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): 2, 1, 5.…

Q: Find a polynomial f (x) of degree 4 that has the following zeros. 0,-2, -6, 5 Leave your answer in…

A: Using the fact that if r is a root then x-r is a factor of the polynomial

Q: Find a degree 3 polynomial having zeros -5, 2 and 6 and the coefficient of x° equal 1. The…

Q: Suppose f(x) has zeros at x=−3, x=4, x=5 and a y-intercept of 17. In addition, f(x) has the…

A: Given that

Q: 4.1. Determine an equation for a polynomial function with zeros -4 (order 4) and 2 (order 3).

A: To find the equation of polynomial with zeroes as -4(order 4) and 2(order 3).

Q: find the third degree polynomial with integer coefficients that has the following zeros: 0,5-2i

Concept explainers

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

Question

Finding a polynomial of a given degree with given
Find a polynomial f(x) of degree 4 that has the following zeros.
8, -1 (multiplicity 2), 0
Leave your answer in factored form.
(2) = D

O POLYNOMIAL AND RATIONAL
Finding a polynomial of a given degree with given zeros: Rea...
Find a polynomial f(x) of degree 4 that has the following zeros.
8, -1 (multiplicity 2), 0
Leave your answer in factored form.
() = |
!!
Explanation
Check
11

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Polynomial$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

The polynomial P(x)=5x2(x4)3(x+7) has degree ___________. It has zeros 0, 4, and ______________. The zero has multiplicity _________
Finding a Polynomial with Specified Zeros Find a polynomial with integer coefficients that satisfies the given conditions. S has degree 4 and zeros 2i and 3i .
Finding a Polynomial with Specified Zeros Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and zero -3 and 1+i .
Finding a Polynomial with Specified Zeros Find a polynomial with integer coefficients that satisfies the given conditions. U has degree 5, zeros 12,1 , and i , and leading coefficient 4, the zero -1 has multiplicity 2.
Finding a Polynomial with Specified Zeros Find a polynomial with integer coefficients that satisfies the given conditions. T has degree 4, zeros i and 1+i , and constant term 12.
Too Many Corn Plants per Acre? The more corn a farmer plants per acre, the greater is the yield the farmer can expect. But only up to a point, many plants acre can cause Overcrowding and decrease yields, data give yields per acre for various densities of corn plantings, as found by researchers at a university test farm. (a) Find the quadratic polynormal that best fits the data. (b) Draw a graph of the polynomial from part (a) together with a scatter plot of the data. (c) use your result (b) to estimate the yield for 37000 plants per acre.
Finding a Polynomial with Specified Zeros Find a polynomial of the specified degree that has the given zeros. Degree 4;zeros -2, 0, 2, 4
Finding a Polynomial with Specified Zeros Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and zeros 12i , and 1, with 1 a zero of multiplicity 2.
Number of Intercepts and Local Extrema How many x-intercepts and how many local extrema does the polynomial P(x)=x34x have? How many x-intercepts and how many local extremadoes the polynomial Q(x)=x3+4x have? If a > 0. bow many x-intercepts and how many local extrema does each Of the polynomials P(x)=x3ax and Q(x)=x3+ax have? Explain your answer.
Write a fourth degree polynomial function with real coefficients and the given zeros. i,2i
Torricelli's Law Water in a tank will out of a small hole in the bottom when tank is nearly full than when it is nearly empty. According to Torricelli's Law, the Height h(t) of water remaining at time t is a quadratic function of t. A certain tank is filled with and allowed to drain. The height of Water is measured at different times as shown in the table. (a) Find the quadratic polynomial that best fits data. (b) Draw a graph of the polynomial from part(a) together With a scatter plot of the data. (c) Use your graph from part (b) to estimate how long it takes for the tank to drain completely.