Solution-Find all possible values of k

Find all possible values of k

Assignment Help Mathematics

Reference no: EM131002171

1. Consider the polynomial P(x) = x³ + 4x² + k³x + 3, where k is some integer. Find all possible values of k such that P(x) has a rational root. (Clearly explain why there are no other values of k that work.)

2. Let u and v be two unit vectors such that u • v = 1/32.

(a) Prove that vectors u-v and 3u+3v are perpendicular.

(b) Find the angle between vectors 2u+6v and 3u-v.

Hint: Consider how dot product of a vector with itself is related to its length.

Reference no: EM131002171

Questions Cloud

What is legality : What is Legality? Specifically how are employees and medical entities legally responsible in Health Service Organizations

Find the length of the prism : The volume of a rectangular prism is 2,058 cubic cm. The length of the prism is 3 times the width. The height is twice the width. Find the length of the prism.

Usage of computers is being monitored : Should an employer notify employees that their usage of computers is being monitored? Why or why not?

What is the optimal technique for positioning the product : What is the optimal technique for positioning the product in the market? Describe the product line and include competitors within this industry

Find all possible values of k : Consider the polynomial P(x) = x3 + 4x2 + k3x + 3, where k is some integer. Find all possible values of k such that P(x) has a rational root.

Infer from the presentation which method : Infer from the presentation which method of accounting for reacquired shares is represented by each of the two columns.

What is the probability of winning : What is the probability of winning and the probability of losing the car prior to opening Curtain C? What is the probability of winning and the probability of losing the car after opening Curtain C

Constitute the entire set of outcomes : Six simple events, with probabilities P (E1) = 0.11; P (E2) = P (E5) = 0.20; P (E3) = 0.25; P (E4) = 0.09; P (E6) = 0.15, constitute the entire set of out- comes of an experiment. The following events are of interest:

How would the basic appeal differ for each group describe : Plan separate advertising executions for a cosmetics product that targets the Believer, Achiever, Experiencer, and MakerVALS2 types. How would the basic appeal differ for each group? Describe

User Account

All Pages

Find all possible values of k

Reference no: EM131002171

Reference no: EM131002171

Questions Cloud

Reviews

Write a Review

Mathematics Questions & Answers

Questions on ferris wheel

Logistic map

Finding the probability of cards

Systems of ode

Derive the boolean expression

System of equations

Linear programming problem

Find the natural domain

Introduction to numerical methods

Chart of the topological manifold

Mathematics in computing

Complex problems

Assured A++ Grade

Academics

Major Subjects

Majors

Get In Touch

TERMS & POLICIES

HELP & SUPPORT