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) = x6 + x4 + x3 + x2 + 2x + 2, g(x) = x3 + 1


p(x) = x6 + x4 + x3 + x2 + 2x + 2, g(x) = x3 + 1


Dividend = x6 + x4 + x3 + x2 + 2x + 2


Divisor = x3 + 1


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) = x3 + x


r(x) = x2 + x + 2


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 + 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

 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) = x6 + 3x2 + 10 and g(x) = x3 + 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) = x4 + 1, g(x) = x + 1