Wednesday

August 27, 2014

August 27, 2014

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

Find the value of k for which a-3b is a factor of a^4-7a^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 9:02amLong division works quite nicely

http://calc101.com/webMathematica/long-divide.jsp#topdoit

Now if a=0, you are dividing

kb^4 by -3b

and if a=1 and b=2 you are dividing

1-7*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.

**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 - 2. Find the LCM and GCD of (2y^2 - 3a^2)x + (2a^2 - 3x^2)y and (2a^2 + ...

maths - An initial-value problem is given by the differential equation, f(x,y...

Maths - Given the f (x) =2x^3 + ax^2 + bx - 9. (a)Find the value of a and b if f...

math - An initial-value problem is given by the differential equation, f(x,y) = ...

Liberal Arts Math - how would i solve this problem?? it says factor the ...

Mathematics - A right circular cone of base radius r cm and height h cm fits ...

Calculus II - Fed loves polynomials with rational coefficients and only such ...

algebra - If (x-3) is a factor of 3x^3+bx^2-17x-12. a. Find the value of b. b....