Posted by Aoi on Friday, June 19, 2009 at 8:45am.
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?

Polynomials help  bobpursley, Friday, June 19, 2009 at 9:02am
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.
Answer This Question
Related Questions
 POLYNOMIALS  I'm really sorry, i'm preparing for O levels, so i have a lot of ...
 very complicated maths  Hey guys, need some help with a question ive been stuck...
 math  An initialvalue problem is given by the differential equation, f(x,y) = ...
 maths  An initialvalue problem is given by the differential equation, f(x,y...
 Mathematics  A right circular cone of base radius r cm and height h cm fits ...
 Math  1.What is the smallest possible value of 2x^4+(8/x^4) over all real ...
 Math  2. Find the LCM and GCD of (2y^2  3a^2)x + (2a^2  3x^2)y and (2a^2 + ...
 Maths  Given the f (x) =2x^3 + ax^2 + bx  9. (a)Find the value of a and b if f...
 math (Matrix) 2  if (2 1 x+2 ) (3 x4 5 ) =25 (0 1 3 ) a) find the value of x ...
 algebra  If (x3) is a factor of 3x^3+bx^217x12. a. Find the value of b. b....
More Related Questions