[" (1) "p(x)=x^(3)-3],[" (i) "p(x)=x^(2)-3x+4],[" (till) "p(x)=x^(2)-5x+6]

Check whether g(x) is a factor of p(x) by dividing the first polynomial by the second polynomial: (i) p(x) = 4x^(3) + 8x + 8x^(2) +7, g(x) =2x^(2) -x+1 , (ii) p(x) =x^(4) - 5x -2, g(x) =2-x^(2) , (iii) p(x) = 13x^(3) -19x^(2) + 12x +14, g(x) =2-2x +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)

If p(x)=4x^(2)-3x+6 find : (i) p(4) (ii) p(-5)

If p(x)=4x^(2)-3x+6 find : (i) p(4) (ii) p(-5)

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)

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)

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

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)

check whether p(x) is a multiple of g(x) or not (i) p(x) =x^(3)-5x^(2)+4x-3,g(x) =x-2. (ii) p(x) =2x^(3)-11x^(2)-4x+5,g(x)=2x+1

check whether p(x) is a multiple of g(x) or not (i) p(x) =x^(3)-5x^(2)+4x-3,g(x) =x-2. (ii) p(x) =2x^(3)-11x^(2)-4x+5,g(x)=2x+1