Find the polynomial g(x), Mathematics

Assignment Help:

On dividing the polynomial 4x4 - 5x3 - 39x2 - 46x - 2 by the polynomial g(x) the quotient is x2 - 3x - 5 and the remainder is -5x + 8.Find the polynomial g(x). (Ans:4 x2+7x+2)

Ans:    p(x) = g (x) q (x) + r (x)

g(x) =px) - rx)/q( x)

let p(x) = 4x4 - 5x3 - 39x2 - 46x - 2 q(x) = x2 - 3x - 5 and r (x) = -5x + 8

now p(x) - r(x) = 4x4 - 5x3 - 39x2 - 41x - 10

when px) - rx)/qx)

∴ g(x) = 4x2 + 7x + 2

= 4x2 + 7x +2


Related Discussions:- Find the polynomial g(x)

Find out least common multiple, Find out Least Common Multiple? The sma...

Find out Least Common Multiple? The smallest number that is a common multiple of two numbers (that is, both numbers share the same multiple) is called the least common multiple

how many of the original vectors, We have claimed that a randomly generate...

We have claimed that a randomly generated point lies on the equator of the sphere  independent of where we pick the North Pole.  To test this claim randomly generate ten  vectors i

Prisoners dilemma, Prisoners Dilemma This is a type of non-zero sum gam...

Prisoners Dilemma This is a type of non-zero sum game and derives its name from the given story: The district attorney has two bank robbers in separate cells and offers them

Cluster sampling, Cluster Sampling Cluster sampling is where a few geog...

Cluster Sampling Cluster sampling is where a few geographical regions for illustration, a location, village or town are selected at random and say every single household or sho

Divide by 1-digit numbers, which experession can be used to check the quoti...

which experession can be used to check the quotient 646 divided by 3

Alternate notation of derivative, Alternate Notation : Next we have to dis...

Alternate Notation : Next we have to discuss some alternate notation for the derivative. The typical derivative notation is the "prime" notation. Though, there is another notation

Formulas, all formulas of plane figures

all formulas of plane figures

Square the next consecutive integer find the lesser integer, The square of ...

The square of one integer is 55 less than the square of the next consecutive integer. Find the lesser integer. Let x = the lesser integer and let x + 1 = the greater integer. T

What was brian''s total commission on these three sales, Brian is a real es...

Brian is a real estate agent. He forms a 2.5% commission on each sale. During the month of June he sold three houses. The houses sold for $153,000, $299,000, and $121,000. What was

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