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

Math, what is the changen intemperature bewtween the highest and the lowest...

what is the changen intemperature bewtween the highest and the lowest temperture high-40c low-0c

What are various strategies adopted for learning maths, Give some children ...

Give some children around you a task in mathematics. The task should be in an area in which they' have not been given a large dose of algorithms and strategies. Do all of them foll

General math, Kwai made 5 pints of iced tea. How many cups of tea did he ma...

Kwai made 5 pints of iced tea. How many cups of tea did he make?

Representation of a set, Normally, sets are given in the various ways A)...

Normally, sets are given in the various ways A) ROASTER FORM OR TABULAR FORM In that form, we describe all the member of the set within braces (curly brackets) and differen

Marketing., what is product life cycle

what is product life cycle

How did they go about "modernizing" the region, What were the two main poli...

What were the two main political parties that formed in the majority of the new nations of Latin America post independence? In what ways were they different? Which party ascended t

The blood pressure over two heart beats, At rest, the human heart beats onc...

At rest, the human heart beats once every second. At the strongest part of the beat, a person's blood pressure peaks at 120mmHg. At the most relaxed part of the beat, a person's bl

Multiplication of two like terms with same signs, Case 1: Suppose we...

Case 1: Suppose we have two terms 7ab and 3ab. When we multiply these two terms, we get 7ab x 3ab = (7 x 3) a 1 + 1 . b 1 + 1  ( Therefore, x m . x n = x m +

How much time does larry spend on his dog each day, Larry spends 3/4 hour t...

Larry spends 3/4 hour twice a day walking and playing with his dog. He also spends 1/6 hour twice a day feeding his dog. How much time does Larry spend on his dog each day? Add

Fuzzy decisionmaking using minimization of regret, why we use decision maki...

why we use decision making using minimization of regret method in uncertainty?

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