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

How to adding rational expressions with common denominators, Adding Rationa...

Adding Rational Expressions with Common Denominators To add or subtract fractions or rational expressions with common denominators, all you do is add or subtract the numerators

rules for solving linear in-equations - linear algebra, Explain what are t...

Explain what are the Rules for solving linear in-equations?

Factors, What are the factors of 956

What are the factors of 956

Some important issue of graph, Some important issue of graph Before mov...

Some important issue of graph Before moving on to the next example, there are some important things to note. Firstly, in almost all problems a graph is pretty much needed.

Unit Rates, I need help on how to do real word problm with unit rates.

I need help on how to do real word problm with unit rates.

Define an ordered rooted tree, Define an ordered rooted tree. Cite any two ...

Define an ordered rooted tree. Cite any two applications of the tree structure, also illustrate using an example each the purpose of the usage.   Ans: A  tree is a graph like t

What is angle pairs, What is Angle Pairs? Two angles are adjacent angle...

What is Angle Pairs? Two angles are adjacent angles if they have the same vertex and share one side. Vertical angles are a pair of nonadjacent angles formed by two intersecting

Differential equation, Verify Liouville''''s formula for y "-y" - y'''' + y...

Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1)

Triangles are resolute, a) How many equivalence relations on {a, b, c, d, e...

a) How many equivalence relations on {a, b, c, d, e, f} have b)  How many arrangements are there of c)  How many triangles are resolute by the vertices of a regular polygon w

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