Q5 of 90 Page 2

By division process, find the value of c for which 2x + 1 is a factor of 4x4 – 3x2 + 3x + c.


On dividing 4x4 – 3x2 + 3x + c by 2x + 1 we get,



Since 2x + 1 is a factor of 4x4 – 3x2 + 3x + c,


This means 2x + 1 divides the given polynomial completely,


→ 4x + c = o


→ c = – 4x


More from this chapter

All 90 →
3

Divide the polynomial p(x) by the polynomial g(x) and find the quotient q(x) and remainder r(x) in each case :

p(x) = x4 + 1, g(x) = x + 1

 4

By division process, find the value of k for which x – 1 is a factor of x3 – 6x2 + 11x + k.

 6

Apply Division Algorithm to find the quotient q(x) and remainder r(x) on dividing p(x) by g(x) as given below:

p(x) = 2x2 + 3x + 1, g(x) = x + 2

 6

Apply Division Algorithm to find the quotient q(x) and remainder r(x) on dividing p(x) by g(x) as given below:

p(x) = x3 – 3x2 + 5x – 3, g(x) = x2 – 2