Home
Class 10
MATHS
Find the quotient and remainder in each ...

Find the quotient and remainder in each of the following and verify the division algorithm :
(i) p(x)`=x^(3)-4x^(2)+2x-1` is divided by g(x)=x+2.
(ii) p(x)`=x^(4)+2x^(2)-x+1` is divided by g(x)`=x^(2)+1`.
(iii) p(x)`=2x^(4)-3x^(3)+x^(2)+5x-3` is divided by g(x)`=x^(2)+x-1`.
(iv) p(x)`=x^(4)-5x^(2)+6` is divided by g(x)=x+2.

Promotional Banner

Similar Questions

Explore conceptually related problems

Devide p(x) by g(x) in each of the following cases and verify division algorithm: p(x)= x^(3)+4x^(2)-5x+6, g(x)= x+1

Find the remainder when p(x)=x^(3)-2x^(2)-4x-1 is divided by g(x)=x+1 .

Find the quotient and remainder on dividing p(x) by g(x) in each of the following cases, without actual division : p(x)= x^(3)+4x^(2)-6x+2, g(x)= x-3

Find the remainder when p(x)=x^(3)-5x^(2)+4x+5 is divided by g(x)=3x-1

Find the remainder when p(x)=4x^(3)-12x^(2)+14x-3 is divided by g(x)=x-(1)/(2)

Find the remainder when p(x)=4x^3-12 x^2+14 x-3 is divided by g(x)=x-1/2

Find the remainder when p(x)=4x^3-12 x^2+14 x-3 is divided by g(x)=x-1/2

Using remainder theorem, find the remainder when : (i) x^(3)+5x^(2)-3 is divided by (x-1) " " (ii) x^(4)-3x^(2)+2 is divided by (x-2) (iii)2x^(3)+3x^(2)-5x+2 is divided by (x+3) " " (iv) x^(3)+2x^(2)-x+1 is divided by (x+2) (v) x^(3)+3x^(2)-5x+4 is divided by (2x-1) " " (vi) 3x^(3)+6x^(2)-15x+2 is divided by (3x-1)

Using remainder theorem, find the remainder when : (i) x^(3)+5x^(2)-3 is divided by (x-1) " " (ii) x^(4)-3x^(2)+2 is divided by (x-2) (iii)2x^(3)+3x^(2)-5x+2 is divided by (x+3) " " (iv) x^(3)+2x^(2)-x+1 is divided by (x+2) (v) x^(3)+3x^(2)-5x+4 is divided by (2x-1) " " (vi) 3x^(3)+6x^(2)-15x+2 is divided by (3x-1)

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : i] p(x) = x^(3) - 3x^(2) + 5x - 3, g(x) = x^(2) - 2 ii] p(x) = x^(4) - 3x^(2) + 4x + 5, g(x) = x^(2) + 1 - x iii] p (x) = x^(4) - 5 x + 6 g(x) = 2 - x^(2)