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

Find x if circle passes through -3, The centre of a circle is (2x - 1, 3x +...

The centre of a circle is (2x - 1, 3x + 1).Find x if the circle passes through (-3,-1) and the length of the diameter is 20 units.

Multiplication and division, you want to share 34 pencils among 6 friends ....

you want to share 34 pencils among 6 friends .How many would each friend get?

Explain that odd positive integer to be a perfect square, Show that for odd...

Show that for odd positive integer to be a perfect square, it should be of the form 8k +1. Let a=2m+1 Ans: Squaring both sides we get a2 = 4m (m +1) + 1 ∴ product of two

How far off shore is the sinking ship, A sinking ship signals to the shore ...

A sinking ship signals to the shore for assistance. Three individuals spot the signal from shore. The ?rst individual is directly perpendicular to the sinking ship and 20 meters in

Credit and invoice, mr ouma bought two sets of spanners for sh 300per set ...

mr ouma bought two sets of spanners for sh 300per set two machanic vice at sh 1000each three set of screw driver at sh 115 per set and tool box for sh 300

Alphabet is any arrangement , A word on an alphabet is any arrangement of t...

A word on an alphabet is any arrangement of the letters in the alphabet. For example,ODD, DOD, DOO, DDD are three-letter words on the alphabet {D,O}. How many four-letter words are

Theorem of reduction of order, In this theorem we identify that for a speci...

In this theorem we identify that for a specified differential equation a set of fundamental solutions will exist. Consider the differential equation  y′′ + p (t ) y′ + q (t

Create a circular table with no restrictions, 1. Four different written dri...

1. Four different written driving tests are administered by a city. One of these tests is selected at random for each applicant for a drivers license. If a group of 2 women and 4 m

Objective functions, For schedule consistency, you decide to require each o...

For schedule consistency, you decide to require each officer to report for their eight-hour shift at 12 AM, 4 AM, 8 AM, 12 PM, 4 PM, or 8 PM. As the Director of Public Safety, you

Find extrema & relative extrema f ( x ) = x3 on [-2, Recognizes the absolut...

Recognizes the absolute extrema & relative extrema for the given function.                                                    f ( x ) = x 3      on        [-2, 2] Solution :

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