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

The polynomial of degree 3, P(r), has a root of multiplicity 2 at r = 1 and a root of multiplicity 1 at x = - 1. The y-intercept is y = Find a formula for P(x). -0.4. P(r)

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 = 3 and a root of multiplicity 1…

A: A detailed solution is given below

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(), has a root of multiplicity 2 at =5 and a root of multiplicity 1 at…

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: 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(r) has leading coefficient 1, has roots of multiplicity 2 at a = 2 and…

A: Given information: The degree of the polynomial is 5, the root of multiplicity 2 at x=2 therefore…

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 z 4. The y-intercept is y = -9.6.…

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

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

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(x), has a root of multiplicity 2 at x = of multiplicity 1 at a = Find…

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

A: Given that P(x) has a root multiplicity 2 at x=2 and a root multiplicity 1 at x=-3 the y-intercept…

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

A: P(x) is polynomial of degree 3 So it can have atmost 3 real roots

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: How to do this?

A: We have to find polynomial

Q: Find a formula for the polynomial P(x) with • degree 3 • a root of multiplicity 2 at z = 1 • a root…

A: Result used: If a polynomial function has zeros or roots of r1,r2,r3,…, then the polynomial function…

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

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

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

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

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

A: Roots of multiplicity at x=5 and x=0. So, (x-5)2 and x2 are factors of P(x). And x=-3 is the root…

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=4 and a root of multiplicity 1…

A: On solving this we will get

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 5 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: To find a formula for p(x)

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

A: Topic - polynomials

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 3, P(r), has a root of multiplicity 2 at z 5 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…

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 2at x=2 and a root of multiplicity 1at…

A: The polynomial of degree 3, has a root of multiplicity 2 at x=2 and a root of multiplicity 1 at…

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: gree

A: Root with multiplicity 2 , x= 4 Root with multiplicity 1, x= -5 y- intercept = -24

Q: The polynomial of degree 3, P(r), has a root of multiplicity 2 at a = 5 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 = x = – 1. The y-intercept is y…

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: Find a formula for the polynomial P(x) with • degree 3 • a root of multiplicity 2 at x = 5 • a root…

A: By factor theorem, for the root x=a of the polynomial P(x) the factor is (x-a). So, the factor for…

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(x), has a root of multiplicity 2 at x = 1 and a root of multiplicity 1…

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

Q: The polynomial of degree 3, P(x), 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=4 and 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 5, P(r), has leading coefficient 1, has roots of multiplicity 2 at z = 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 4, P(x) has a root of 1 and roots of multiplicity 1 at 4. It goes through…

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

Question

100%

The polynomial of degree 3, P(r), has a root of multiplicity 2 at r = 1 and a root of multiplicity 1 at
x = - 1. The y-intercept is y =
Find a formula for P(x).
-0.4.
P(x)

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The quadratic function f(x)=a(xh)2+k is in standard form. (a) The graph of f is a parabola with vertex(____,____). (b) If a > 0, graph of f opens _____. In this case f(h) = k is the _________value of f. (c) If a < 0, graph of f opens _____. In this case f(h) = k is the______valueof f.
A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is counted m times.
The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?
Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.