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) = x3 – 3x2 + 4x + 2 , g(x) = x – 1

p(x) = x3 – 3x2 + 4x + 2,g(x) = x – 1


Dividend = x3 – 3x2 + 4x + 2


Divisor = x – 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



Quotient = x2 – 2x + 2


Remainder = 4


More from this chapter

All 90 →
1

Divide 2x3 + 3x + 1 by x + 2 and find the quotient and the reminder. Is q(x) a factor of 2x3 + 3x + 1 ?

 2

Divide 3x3 + x2 + 2x + 5 by 1 + 2x + x2 and find the quotient and the remainder. Is 1 + 2x + x2 a factor of 3x3 + x2 + 2x + 5

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