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

Examples of repetition need not be boring- learning maths, E1) Try and see ...

E1) Try and see the order in which different children fills numbers in the grid above. My claim is that all of them would fill in the ones, the fives and the tens first. Test my hy

Fundamental theorem of calculus, Fundamental Theorem of Calculus, Part I ...

Fundamental Theorem of Calculus, Part I As noted through the title above it is only the first part to the Fundamental Theorem of Calculus. The first part of this theorem us

VAM, applications of VAM.

applications of VAM.

Math help, What fraction of the full price will you pay for 2 shirts? 3 4 ...

What fraction of the full price will you pay for 2 shirts? 3 4 11 2 $45.001 2 .

Express the negation of the statement, States the negation of the statement...

States the negation of the statement ∀x ∃y (xy = 1) so that no negation precedes a quantifier. Ans: The negation of the following statement is written as ~ [∀x ∃y (xy = 1)]. An

Some definitions of exponential e, Some Definitions of e 1. ...

Some Definitions of e 1. 2.   e is the unique +ve number for which 3. The second one is the significant one for us since that limit is exactly the limit

What is the total number of pounds they bought if the total, The student co...

The student council bought two various kinds of candy for the school fair. They purchased 40 pounds of candy at $2.15 per pound and x pounds at $1.90 per pound. What is the total n

Determine if the three vectors lie in similar plane or not, Determine if th...

Determine if the three vectors a → = (1, 4, -7), b → = (2, -1, 4) and c → = (0, -9, 18) lie in similar plane or not. Solution Thus, as we noted prior to this example al

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