Polynomials help
posted by Aoi .
Hello, this is a question which i don't know how to do.
Find the value of k for which a3b is a factor of a^47a^2b^2 + kb^4
Hence, for this value of k, factorise a^4  7a^2b^2 + kb^4 completely.
I tried to do long division for the question, but couldnt. Is there any other methods?

Long division works quite nicely
http://calc101.com/webMathematica/longdivide.jsp#topdoit
Now if a=0, you are dividing
kb^4 by 3b
and if a=1 and b=2 you are dividing
17*4+16k by 5 or (27+16k)/5 and if that is to come out as an integer, then
27+16k is a multiple of 5 which means than in 16k has to be ???8 which means k is now a multiple of 3 and ends in 8. Hmmmm. 18 works.
Do the long division.
Respond to this Question
Similar Questions

POLYNOMIALS
I'm really sorry, i'm preparing for O levels, so i have a lot of maths questions to ask... please excuse me... Question: Find the value of k for which a3b is a factor of a^4  7a^2b^2 + kb^4. Hence, factorise completely. How do i … 
Mathematics
A right circular cone of base radius r cm and height h cm fits exactly into a sphere of internal radius 12cm. a)Express r in terms of h. b)If the volume of the cone is Vcm cube, show that V=8¶h^2  1/3¶h^3 c)Find the value of r for … 
Math
2. Find the LCM and GCD of (2y^2  3a^2)x + (2a^2  3x^2)y and (2a^2 + 3x^2)y + (2y^2 + 3a^2)x 3.Find m if the polynomials (x^2  2mx + 2) and (3x^2  mx  4) have a common linear factor 4. The ramainder on dividing 121^n  25^n + … 
algebra
If (x3) is a factor of 3x^3+bx^217x12. a. Find the value of b. b.Hence , find the roots fo the equation 3x^3+bx^217x12=0. 
math
An initialvalue problem is given by the differential equation, f(x,y) = x + y, y(0) = 1.64 The Eulermidpoint method is used to find an approximate value to y(0.1) with a step size of h = 0.1. Then use the integrating factor method, … 
very complicated maths
Hey guys, need some help with a question ive been stuck on for a looooooong time! The question is: Given that (x+4) is a factor of the expression 3x^3+x^2+px+24, find the constant value of p. Hence factorise and solve the equation … 
Maths
Given the f (x) =2x^3 + ax^2 + bx  9. (a)Find the value of a and b if f (x) has a factor x 3 but leaves a reminder of 8 when divided by x + 1. (b) Factorize f (x) completely and hence solve for x. 
maths
An initialvalue problem is given by the differential equation, f(x,y) = x + y, y(0) = 1.64 The Eulermidpoint method is used to find an approximate value to y(0.1) with a step size of h = 0.1. Then use the integrating factor method, … 
math (Matrix) 2
if (2 1 x+2 ) (3 x4 5 ) =25 (0 1 3 ) a) find the value of x b) hence ,find (2 1 x+2 )^1 ( 3 x4 5 ) (o 1 3 ) p/s : all the value above IS COMBINE in one bracket ( ) 
Math
1.What is the smallest possible value of 2x^4+(8/x^4) over all real nonzero values of x?