" iv ")p(x)=x^(2)+3x-4

(iv) Divide P(x)=2x^(2)-3x+5 by g(x)=x-3

Find the zero of the polynomial : (i) p(x)=x-3 " " (ii) q(x)=3x-4 " " (iii) p(x)=4x-7 " " (iv) q(x)=px+q, p ne 0 (v)p(x)=4x " " (vi) p(x)=(3)/(2)x-1

Find the zero of the polynomial : (i) p(x)=x-3 " " (ii) q(x)=3x-4 " " (iii) p(x)=4x-7 " " (iv) q(x)=px+q, p ne 0 (v)p(x)=4x " " (vi) p(x)=(3)/(2)x-1

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.

Verify whether the following are zeroes of the polynomial, indicated against them . (i) p(x)=3x+1,x=-(1)/(3) (ii) p(x)=5x-pi,x=(4)/(5) (iii) p(x)=x^(2)-1,x=1,-1 (iv) p(x)=(x+1),(x-2),x=-1,2 (v) p(x)=x^(2),x=0 (vi) p(x)=lx+m,x=(-m)/(l) (vii) p(x)=3x^(2)-1,x=-(1)/(sqrt(3)),(2)/(sqrt(3)) (viii) p(x)=2x+1,x=(1)/(2)

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)

p(x) = 4x^(2) + 3x -1 then p(1/4) = ……..

By remainder theorem , find the remainder when p(x) is divided by g(x) where , (i) p(x) =x^(3) -2x^2 -4x -1 ,g(x) =x+1 (ii) p(x) =4x^(3) -12x^(2) +14x -3,g(x) =2x-1 (iii) p(x) =x^(3) -3x^(2) +4x +50 ,g(x) =x-3

Verify whether the following are zeroes of the polynomial, indicated against them. (i) p(x)=3x+1, x=-1/3 (ii) p(x)=5x-pi, x=4/5 (iii) p(x)=x^2-1, x=1,-1 (iv) p(x)=(x+1)(x+2), x=-1,2 (v) p(x)=x^2, x=0 (vi) p(x)=l x+m , x=-m/l (vii)