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

Pemdas, 15(4*4*4*4*+5*5*5)+(13*13*13+3*3*3)

15(4*4*4*4*+5*5*5)+(13*13*13+3*3*3)

Classify linear or nonlinear, Question: Classify the following differen...

Question: Classify the following differential equations as linear/nonlinear. Also, what is the order of the following differential equations? Xy'-2y =x Xy'' -2y' =xsin(y)

Pair of straight line, a pair of straight lines are drawn through the origi...

a pair of straight lines are drawn through the origin forms with the line 2x+3y=6 an isoceles triangle right angled at origin find the equation of pair of straight line?

Areas related to circles in mensuration, AREAS  RELATED TO CIRCLES The...

AREAS  RELATED TO CIRCLES The  mathematical  sciences particularly  exhibit  order,  symmetry,  and limitation;  and  these  are the  greatest  forms  of the beautiful. In t

Geometry, all basic knowledge related to geometry

all basic knowledge related to geometry

Two bulbs are selected without replacement, A bag of 28 tulip bulbs contain...

A bag of 28 tulip bulbs contains 12 red tulip bulbs,7 purple tulip bulbs  and 9 yellow tulip bulbs,. Two bulbs are selected without replacement. Determine, a)    The probability t

Distribution of sample means not normal, The distribution of sample means i...

The distribution of sample means is not always a normal distribution. Under what circumstances is the distribution of sample means not normal?

Min Problem, I need help solving this question...You have to design a recta...

I need help solving this question...You have to design a rectangular flyer. The top and bottom must have 5" margins and the left and right sides must have 2" margins. If you must

Marginal cost & cost function, Marginal cost & cost function  The cost ...

Marginal cost & cost function  The cost to produce an additional item is called the marginal cost and as we've illustrated in the above example the marginal cost is approxima

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