(y')p(x)=(x+1)(x-2)*x=-1,2

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)

Verify whether the values of x given in each case are the zeroes of the polynomial or not ? ….. (i) p(x)=2x+1,x=-(1)/(2) (ii) p(x)=5x-pi,x=(-3)/(2) (iii) p(x)=x^(2)-1,x =+-1 (iv) p(x)=(x-1)(x+2),x=-1,-2 (v) p(y)=y^(2),y=0 (vi) p(x)=ax+b,x=-(b)/(a)

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/sqrt3,2/sqrt3 (viii) p(x) = 2x+1,x=1/2

Verify whether the values of x given in each case are the zeroes of the polynomial or not ? (i) p (x) = 2 x + 1,x =- 1/2 (ii) p (x) = 5x -pi , x = (-3)/(2) (iii) p (x) = x ^(2) -1 , x = pm 1 (iv) p (x) = (x-1) (x +2) , x =-1,k-2 (v) p (y) = y ^(2) , y =0 (vi ) p (x) = ax + b, x =- (b)/(a) (vii) f (x) = 3x ^(2) -1 , x =- (1)/(sqrt3) , (2)/(sqrt3) (viii) f (x) =2x -1 , x = (1)/(2), (-1)/(2)

Verify whether the values of x given in each case are the zeroes of the polynomial or not ? (i) p (x) = 2 x + 1,x =- 1/2 (ii) p (x) = 5x -pi , x = (-3)/(2) (iii) p (x) = x ^(2) -1 , x = pm 1 (iv) p (x) = (x-1) (x +2) , x =-1,-2 (v) p (y) = y ^(2) , y =0 (vi ) p (x) = ax + b, x =- (b)/(a) (vii) f (x) = 3x ^(2) -1 , x =- (1)/(sqrt3) , (2)/(sqrt3) (viii) f (x) =2x -1 , x = (1)/(2), (-1)/(2)

Verify whether the values of x given in each case are the zeroes of the polynomial or not ? (i) p (x) = 2 x + 1,x =- 1/2 (ii) p (x) = 5x -pi , x = (-3)/(2) (iii) p (x) = x ^(2) -1 , x = pm 1 (iv) p (x) = (x-1) (x +2) , x =-1,k-2 (v) p (y) = y ^(2) , y =0 (vi ) p (x) = ax + b, x =- (b)/(a) (vii) f (x) = 3x ^(2) -1 , x =- (1)/(sqrt3) , (2)/(sqrt3) (viii) f (x) =2x -1 , x = (1)/(2), (-1)/(2)

Find p(0), p(1) and p(2) for each of the following polynomials:(i) p(y)=y^2-y+1 (ii) p(t)=2+t+2t^2-t^3 (iii) p(x)=x^3 (iv) p(x)=(x-1)(x+1)

A polynomial of degree 2 which takes values y_0,y_1,y_2 at points x_0,x_1,x_2 respectively , is given by p(x) = ((x-x_1)(x-x_2))/((x_0-x_1)(x_0-x_2)) y_0 + ((x-x_0)(x-x_2))/((x_1-x_0)(x_1-x_2)) y_1 + ((x-x_0)(x-x_1))/((x_2-x_0)(x_2-x_1)) y_2 A polynomial of degree 2 which takes values y_0, y_0, y_1 at points x_0, x_(0+t), x_1 t!=0 is given by

A polynomial of degree 2 which takes values y_0,y_1,y_2 at points x_0,x_1,x_2 respectively , is given by p(x) = ((x-x_1)(x-x_2))/((x_0-x_1)(x_0-x_2)) y_0 + ((x-x_0)(x-x_2))/((x_1-x_0)(x_1-x_2)) y_1 + ((x-x_0)(x-x_1))/((x_2-x_0)(x_2-x_1)) y_2 A polynomial of degree 2 which takes values y_0, y_0, y_1 at points x_0, x_(0+t), x_1 t!=0 is given by