Answered: The polynomial of degree 3, P(x), has a…

The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 5 and a root of multiplicity 1 at 3. The y-intercept is y = 52.5. - - Find a formula for P(x). P(x) =

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

Section3.5: Complex Zeros And The Fundamental Theorem Of Algebra

Problem 3E: A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is...

See similar textbooks

Related questions

Q: The polynomial of degree 33, P(x), has a root of multiplicity 22 at x=5 and a root of multiplicity…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 4 and a root of multiplicity 1…

Q: The polynomial of degree 5, P(r) has leading coefficient 1, has roots of multiplicity 2 at z = 1 and…

Q: The polynomial of degree 3, P(r), has a root of multiplicity 2 at r = 1 and a root of multiplicity 1…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at z = 5 and a root of multiplicity 1…

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=5 and…

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at z = 4 and…

Q: The polynomial of degree 3, P(r), has a root of multiplicity 2 at z= 1 and a root of multiplicity 1…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at X=3 and root of multiplicity 1 at…

A: The polynomial of degree 3 with roots a,b, and c can be written as: P(x)=k(x-a)(x-b)(x-c) Now, x=3…

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = 2 and…

A: Given a polynomial P(x) of degree 5, having a leading coefficient 1 Also given that the polynomial…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at a = 2 and a root of multiplicity 1…

Q: The polynomial of degree 3,P(x),has a root of multiplicity 2 at x=5 and a root multiplicity1 at…

A: Given:- The polynomial of degree 3,P(x),has a root of multiplicity 2 at x=5 and a root multiplicity…

Q: The polynomial of degree 3, P(z), has a root of multiplicity 2 at z = 2 and a root of multiplicity 1…

A: We have given polynomial of degree 3, Px has a root of multiplicity 2 at x=2 and a root of…

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = 3 and…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1…

Q: The polynomial of degree 5, P(x)P(x) has leading coefficient 1, has roots of multiplicity 2 at…

A: P(x) has root x=2 of onulriplinary 2∴ (x-2)2 is a factor of p(x).p(x) has root x=0 is a factor of…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 1 and a root of multiplicity 1 at x 2…

A: If x=p,q,r are roots of a cubic polynomial,then the general form of such polynomialis given…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=3 and a root of multiplicity 1…

A: Explanation of the solution is given below....

Q: The polynomial of degree 3, P(z), has a root of multiplicity 2 at z = 3 and a root of multiplicity 1…

A: P(x) = a(x-r1)(x-r2)(x-r3) r1 = r2 = 3 r3 = -2 P(x) = a(x-3)(x-3)(x+2) P(x) = a(x-3)2 (x+2) Y-…

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at æ = 5 and…

A: The objective is to find the polynomial P(x).

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at a 3 and a root of multiplicity 1…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=3 and a root of multiplicity 1…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1…

A: We know that a polynomial of degree n can be written in factors form as: P(x)=C x-x1·x-x2⋯⋯⋯x-xn…

Q: The polynomial of degree 3,P(x),has a root of multiplicity 2 at x=1 and a root of multiplicity 1 at…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 1 and a root of multiplicity 1…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=4 and a root of multiplicity 1…

Q: The polynomial of degree 3, P(r), has a root of multiplicity 2 at a = 4 and a root of multiplicity 1…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=3 and a root of multiplicity 1…

A: The polynomial has root of multiplicity 2 at x = 3, so (x - 3)2 is a factor of the polynomial and…

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at z= 4 and…

Q: The polynomial of degree 3, P(r), has a root of multiplicity 2 at æ = 2 and a root of multiplicity 1…

A: Given that y=-3.2

Q: The polynomial of degree 3, P(r), has a root of multiplicity 2 at z = 3 and a root of multiplicity 1…

A: Solution

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 2 and a root of multiplicity 1…

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = 4 and…

A: Solution: The objective is to find the polynomial

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1…

Q: The polynomial of degree 5, P(x)P(x) has leading coefficient 1, has roots of multiplicity 2 at…

A: Since , the polynomial P(x) has roots of multiplicity 2 at x=5 and x=0 and a root of multiplicity…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=4 and a root of multiplicity 1…

A: Given:Polynomial of 3 degreeroot of multiplicity 2 at x=4root of multiplicity 1 at x=-3y-intercept…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at z = 5 and a root of multiplicity 1…

A: Given: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=5 and a root of…

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = 2 and…

A: To find the formula for polynomial P(x)

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=5 and a root of multiplicity 11…

A: Given the query is to find the polynomial from the data provided.

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at z = 2 and…

A: Given: The polynomial P(x) has degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at r = x = - 5. The y-intercept is y…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = of multiplicity 1 at z = Find…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 4 and a root of multiplicity 1…

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at a = 3 and…

A: A detailed solution is given below.

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = x =…

A: Given, the polynomial of degree 5, p(x) has leading coefficient 1. At x=3 with multiplicity 2 At x=0…

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = x =…

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = 2 and…

A: The polynomial of degree 5 p(x) was leading coefficient has roots of multiplicity 2 at x=2 and x=0

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1…

Question

The polynomial of degree 3, P(x), has a root of
multiplicity 2 at x = 5 and a root of multiplicity 1 at
3. The y-intercept is y =
52.5.
-
-
Find a formula for P(x).
P(x) =

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 with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is counted m times.
Find the fourth-degree Taylor polynomial T4(x) for the function f(x)=cosx at the number x=π/3. T4(x)=
Find an equation for a polynomial f(x) that satisfies the following: Degree 3 Zero at x=3 Zero at x=2 Zero at x=-1 Y intercept of (0,4) F(x)=?
For the cubic polynomial function ?(?)=??3+??2+??+?,f(x)=ax3+bx2+cx+d, find ?,a, ?,b, ?,c, and ?d so that 00 is a critical number, ?(0)=5,f(0)=5, and the point (1,1)(1,1) is an inflection point of ?.
Joyce wants to approximate the value of f(a) for some a [-0.2,0.2] notation. accurate to one decimal using the nth-degree Taylor polynomial for f(x) = In(1 + 2x) = centred at a = 0. That is, she wants the difference between her approximation to the function value and the actual function value to be at most 0.05. What is the minimum value of n that Joyce should use?
Find the value/s of x for which y=3x^4-4x^3+1 is maximum?
If y'=x3+y2, where y=1 when x=0, find a degree 3 polynomial that best fits the solution using Taylor Series Polynomial.
Use the linear approximation (1 + x)k = 1 + kx to find anapproximation for the function ƒ(x) for values of x near zero. ƒ(x) = (4 + 3x)1/3
Use the linear approximation (1 + x)k = 1 + kx to find anapproximation for the function ƒ(x) for values of x near zero. ƒ(x) = 2/1 - x
For the function f(x)=√(x+1),Tn, n. Find the approximations asked around x=8 for f(10), including the degree Taylor polynomial approximation. T1=? T2=? Use 4 digits after the comma for decimal numbers in your answers. However, make sure that all digits are preserved during calculations.
Find the degree 4 Taylor Polynomial, T4(x), for the function f(x) = 3√x centered at x = 1.