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 is minimum spanning tree, What is minimum spanning tree?  Determine a ...

What is minimum spanning tree?  Determine a railway network of minimal cost for the cities in the following graph using Kruskal's algorithm. Ans: Minimum spanning tree in a con

Word problems, if I read 6 hours of spring break how many minutes did ...

if I read 6 hours of spring break how many minutes did read

Comparing, compare 643,251 633,512 and 633.893 the answer is 633.512 what i...

compare 643,251 633,512 and 633.893 the answer is 633.512 what is the question

2+2=5, How could 2+2 will be Equal to 5

How could 2+2 will be Equal to 5

Solid geomerty, find the equation to the sphere through the circle xsqaure+...

find the equation to the sphere through the circle xsqaure+ysquare+zsquare+=9 , 2x+3y+4z=5

Find the angle of elevation, A 50-foot pole casts a shadow on the ground. ...

A 50-foot pole casts a shadow on the ground. a) Express the angle of elevation θ of the sun as a function of the length s of the shadow. (Hint you may wish to draw this firs

How to make equations of conics easier to read, How to Make Equations of Co...

How to Make Equations of Conics Easier to Read ? If you want to graph a conic sections, first you need to make the equation easy to read. For example, say you have the equatio

Calculus, the limit of f(x) as x approaches 5 is equal to 7. write the defi...

the limit of f(x) as x approaches 5 is equal to 7. write the definition of limit as it applies to f at this point

Solve the initial value by laplace transform method, Question: Solve the i...

Question: Solve the initial value problem 2x'' +x'-x =27 Cos2t +6 Sin 2t, x(0)=2 , x'(0)= -2 by using Laplace transform method.

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