Explain polynomials, Mathematics

Assignment Help:

POLYNOMIALS: It is  not  once  nor  twice  but  times  without  number  that the  same ideas make  their  appearance in the  world.

1.  Find the value for K for which x4 + 10x3 + 25x2 + 15x + K exactly divisible by x + 7.

Ans: Let P(x) = x4 + 10x4 + 25x2 + 15x + K and g(x) = x + 7

Since P(x) exactly divisible by g(x)

∴      r (x) = 0

(Ans : K= - 91)

now

2307_divide.png

           x4 + 7 x3

          -------------

           3x3 + 25 x2

           3x3 + 21x2

         -------------------

           4x2 + 15 x

           4x2 + 28x

           -----------------

            -13x + K

           - 13x - 91

             ----------------

               K + 91

∴ K + 91 = 0

K= -91


Related Discussions:- Explain polynomials

What do you mean by transient state, What do you mean by transient state an...

What do you mean by transient state and steady-state queueing systems If the characteristics of a queuing system are independent of time or equivalently if the behaviour of the

Run a chi-square test, Download the data on Gas Mileage.  This is a sample ...

Download the data on Gas Mileage.  This is a sample of 81 passenger cars with information about gas consumption and other technical details.     a.        Estimate the following

What is set, What is a set? Explain various methods to represent a set in s...

What is a set? Explain various methods to represent a set in set theory. Define the following with the help of suitable examples.      (i) Singleton Set

Problem, if .77x + x = 8966.60, what is the value of x?

if .77x + x = 8966.60, what is the value of x?

An even number is selected, Let the Sample Space S = {1, 2, 3, 4, 5, 6, 7, ...

Let the Sample Space S = {1, 2, 3, 4, 5, 6, 7, 8}. Suppose each outcome is equally likely. Compute the probability of event E = "an even number is selected".

Graphing linear equtions, Determine whether each equation is a linear equat...

Determine whether each equation is a linear equation. If yes, write the equation in standard form. y=2x+5

An amortization, Ahmad borrowed $450000.00 at 3% compounded semi-annually f...

Ahmad borrowed $450000.00 at 3% compounded semi-annually for ten years to buy an apartment. Equal payments are made at the end of every six months. a) Determine the size of the se

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd