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) =p( x) - r( x)/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 p( x) - r( x)/q( x)

∴ g(x) = 4x2 + 7x + 2

= 4x2 + 7x +2


Related Discussions:- Find the polynomial g(x)

Precalculus, Find the standard form of the equation of the parabola with a ...

Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -7).

Pair of straight line, The equation ax2 + 2hxy + by2 =0 represents a pair o...

The equation ax2 + 2hxy + by2 =0 represents a pair of straight lines passing through the origin and its angle is tan q = ±2root under h2-ab/(a+b) and even the eqn ax2+2hxy+by2+2gx+

???, a deposit of 10,000 was made to an account the year you were born afte...

a deposit of 10,000 was made to an account the year you were born after 12 years the account is worth 16,600 what is the simple interest rate did the account earn?

Bill traveled 117 miles in 2.25 hours what was his average, Bill traveled 1...

Bill traveled 117 miles in 2.25 hours. What was his average speed? Use the formula d = rt (distance = rate × time). Substitute 117 miles for d. Substitute 2.25 hours for t and

Spherical coordinates - three dimensional space, Spherical Coordinates - Th...

Spherical Coordinates - Three Dimensional Space In this part we will introduce spherical coordinates. Spherical coordinates which can take a little getting employed to.  It's

Complex number, The points A,B,C and D represent the numbers Z1,Z2,Z3 and Z...

The points A,B,C and D represent the numbers Z1,Z2,Z3 and Z4.ABCD is rhombus;AC=2BD.if  Z2=2+i ,Z4=1-2i,find Z1 and Z3 Ans) B(2,1) , D(1,-2) Mid Point (3/2,-1/2) Write Equati

Geometry, find the value of 0 that makes cos 21 degrees = sin 0 statement t...

find the value of 0 that makes cos 21 degrees = sin 0 statement true.

the speed of the motor boat, A motor boat takes Six hours to cover 100 km ...

A motor boat takes Six hours to cover 100 km downstream and 30 km  upstream. If the motor boat goes 75 km downstream and returns  back to its starting point in 8 hours, find the sp

Differential equation (dy/dx) +x^2 = x^2*e^(3y), The general solution of th...

The general solution of the differential equation (dy/dx) +x^2 = x^2*e^(3y). Solution)(dy/dx) +x^2 = x^2*e^(3y) dy/dx=x 2 (e 3y -1) x 2 dx=dy/(e 3y -1) this is an elementar

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