Q3 of 90 Page 2

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) = 2x4 + 3x3 + 4x2 + 19x + 45, g(x) = x – 2

p(x) = 2x4 + 3x3 + 4x2 + 19x + 45, g(x) = x – 2


Dividend = 2x4 + 3x3 + 4x2 + 19x + 45


Divisor = x – 2


Here, dividend and divisor both are in the standard form.


Now, on dividing p(x) by g(x) we get the following division process we get,



q(x) = 2x3+7x2+18x+55


r(x) = 155


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) = x3 – 3x2 + 4x + 2 , g(x) = x – 1

 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) = 4x3 – 3x2 + 2x + 3 , g(x) = x + 4

 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 + 2x3 – 3x2 + x – 1, g(x) = x – 2

 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) = x3 – 3x2– x + 3, g(x) = x2 – 4x + 3